10140404400 has 360 divisors, whose sum is σ = 40367381600. Its totient is φ = 2309160960.

The previous prime is 10140404317. The next prime is 10140404411. The reversal of 10140404400 is 440404101.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8794224 + ... + 8795376.

Almost surely, 2^10140404400 is an apocalyptic number.

10140404400 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 10140404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20183690800).

10140404400 is an abundant number, since it is smaller than the sum of its proper divisors (30226977200).

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

10140404400 is a wasteful number, since it uses less digits than its factorization.

10140404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10140404400 its reverse (440404101), we get a palindrome (10580808501).

The spelling of 10140404400 in words is "ten billion, one hundred forty million, four hundred four thousand, four hundred".