10400434400 has 72 divisors (see below), whose sum is σ = 26494023024. Its totient is φ = 3979289600.

The previous prime is 10400434397. The next prime is 10400434409. The reversal of 10400434400 is 443400401.

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 (10400434409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264221 + ... + 301020.

It is an arithmetic number, because the mean of its divisors is an integer number (367972542).

Almost surely, 2^10400434400 is an apocalyptic number.

10400434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400434400 is an abundant number, since it is smaller than the sum of its proper divisors (16093588624).

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

10400434400 is a wasteful number, since it uses less digits than its factorization.

10400434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565284 (or 565271 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10400434400 its reverse (443400401), we get a palindrome (10843834801).

The spelling of 10400434400 in words is "ten billion, four hundred million, four hundred thirty-four thousand, four hundred".