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4040040000440 = 2351091954147419
BaseRepresentation
bin111010110010100101001…
…001100010101110111000
3112022020001100000110201102
4322302211021202232320
51012143000220003230
612331545130110532
7564611646253223
oct72624511425670
915266040013642
104040040000440
11131840a290624
12552ba127b448
13233c88244aa2
14dd778d605ba
1570156244045
hex3aca5262bb8

4040040000440 has 64 divisors (see below), whose sum is σ = 9174148236000. Its totient is φ = 1601074460160.

The previous prime is 4040040000433. The next prime is 4040040000443. The reversal of 4040040000440 is 440000400404.

4040040000440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040040000443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85175051 + ... + 85222469.

Almost surely, 24040040000440 is an apocalyptic number.

4040040000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040040000440 is an abundant number, since it is smaller than the sum of its proper divisors (5134108235560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4040040000440 is a wasteful number, since it uses less digits than its factorization.

4040040000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67080 (or 67076 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4040040000440 its reverse (440000400404), we get a palindrome (4480040400844).

The spelling of 4040040000440 in words is "four trillion, forty billion, forty million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 19541 39082 47419 78164 94838 97705 156328 189676 195410 237095 379352 390820 474190 781640 948380 1896760 2129969 4259938 5168671 8519876 10337342 10649845 17039752 20674684 21299690 25843355 41349368 42599380 51686710 85198760 103373420 206746840 926614679 1853229358 3706458716 4633073395 7412917432 9266146790 18532293580 37064587160 101001000011 202002000022 404004000044 505005000055 808008000088 1010010000110 2020020000220 4040040000440