10400014400 has 84 divisors (see below), whose sum is σ = 26185837392. Its totient is φ = 4063234560.

The previous prime is 10400014327. The next prime is 10400014433. The reversal of 10400014400 is 441000401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6782 + ... + 144381.

Almost surely, 2^10400014400 is an apocalyptic number.

10400014400 is a gapful number since it is divisible by the number (10) 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 10400014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13092918696).

10400014400 is an abundant number, since it is smaller than the sum of its proper divisors (15785822992).

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

10400014400 is a wasteful number, since it uses less digits than its factorization.

10400014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151228 (or 151213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10400014400 its reverse (441000401), we get a palindrome (10841014801).

It can be divided in two parts, 1040001 and 4400, that added together give a palindrome (1044401).

The spelling of 10400014400 in words is "ten billion, four hundred million, fourteen thousand, four hundred".