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1040400202044 = 2237294128013719
BaseRepresentation
bin11110010001111001010…
…11110011100100111100
310200110110021112022222110
433020330223303210330
5114021214422431134
62113541523014020
7135111041542440
oct17107453634474
93613407468873
101040400202044
1137125a877725
12149777b0a310
1377156230638
14384d9c2c820
151c0e34517e9
hexf23caf393c

1040400202044 has 192 divisors, whose sum is σ = 2941911705600. Its totient is φ = 279831552000.

The previous prime is 1040400202001. The next prime is 1040400202067. The reversal of 1040400202044 is 4402020040401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1040400202044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279750817 + ... + 279754535.

It is an arithmetic number, because the mean of its divisors is an integer number (15322456800).

Almost surely, 21040400202044 is an apocalyptic number.

1040400202044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040400202044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470955852800).

1040400202044 is an abundant number, since it is smaller than the sum of its proper divisors (1901511503556).

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

1040400202044 is a wasteful number, since it uses less digits than its factorization.

1040400202044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 1040400202044 its reverse (4402020040401), we get a palindrome (5442420242445).

The spelling of 1040400202044 in words is "one trillion, forty billion, four hundred million, two hundred two thousand, forty-four".