10400582400 has 216 divisors, whose sum is σ = 36965290320. Its totient is φ = 2560081920.

The previous prime is 10400582393. The next prime is 10400582441. The reversal of 10400582400 is 428500401.

It is a super-2 number, since 2×10400582400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228766 + ... + 270434.

Almost surely, 2^10400582400 is an apocalyptic number.

10400582400 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 10400582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18482645160).

10400582400 is an abundant number, since it is smaller than the sum of its proper divisors (26564707920).

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

10400582400 is a wasteful number, since it uses less digits than its factorization.

10400582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41711 (or 41692 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 10400582400 in words is "ten billion, four hundred million, five hundred eighty-two thousand, four hundred".