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4040400440 = 235177756843
BaseRepresentation
bin1111000011010011…
…1001111000111000
3101102120201121102202
43300310321320320
531233320303230
61504531445332
7202060560056
oct36064717070
911376647382
104040400440
11179377871a
12949156848
134c50c85bb
142a486d1d6
15189aa5a45
hexf0d39e38

4040400440 has 32 divisors (see below), whose sum is σ = 9096176880. Its totient is φ = 1615222272.

The previous prime is 4040400389. The next prime is 4040400451. The reversal of 4040400440 is 440040404.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42659 + ... + 99501.

Almost surely, 24040400440 is an apocalyptic number.

4040400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040400440 is an abundant number, since it is smaller than the sum of its proper divisors (5055776440).

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

4040400440 is a wasteful number, since it uses less digits than its factorization.

4040400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58631 (or 58627 counting only the distinct ones).

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

The square root of 4040400440 is about 63564.1442953494. The cubic root of 4040400440 is about 1592.7274679656.

Adding to 4040400440 its reverse (440040404), we get a palindrome (4480440844).

The spelling of 4040400440 in words is "four billion, forty million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1777 3554 7108 8885 14216 17770 35540 56843 71080 113686 227372 284215 454744 568430 1136860 2273720 101010011 202020022 404040044 505050055 808080088 1010100110 2020200220 4040400440