10400212400 has 240 divisors, whose sum is σ = 28159760160. Its totient is φ = 3667968000.

The previous prime is 10400212393. The next prime is 10400212421. The reversal of 10400212400 is 421200401.

It is a super-2 number, since 2×10400212400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13048802 + ... + 13049598.

It is an arithmetic number, because the mean of its divisors is an integer number (117332334).

Almost surely, 2^10400212400 is an apocalyptic number.

10400212400 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 10400212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079880080).

10400212400 is an abundant number, since it is smaller than the sum of its proper divisors (17759547760).

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

10400212400 is a wasteful number, since it uses less digits than its factorization.

10400212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 941 counting only the distinct ones).

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

Adding to 10400212400 its reverse (421200401), we get a palindrome (10821412801).

The spelling of 10400212400 in words is "ten billion, four hundred million, two hundred twelve thousand, four hundred".