10400210400 has 144 divisors (see below), whose sum is σ = 33995042928. Its totient is φ = 2761728000.

The previous prime is 10400210399. The next prime is 10400210413. The reversal of 10400210400 is 401200401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569410 + ... + 587390.

It is an arithmetic number, because the mean of its divisors is an integer number (236076687).

Almost surely, 2^10400210400 is an apocalyptic number.

10400210400 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 10400210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997521464).

10400210400 is an abundant number, since it is smaller than the sum of its proper divisors (23594832528).

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

10400210400 is a wasteful number, since it uses less digits than its factorization.

10400210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18245 (or 18232 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10400210400 its reverse (401200401), we get a palindrome (10801410801).

Subtracting from 10400210400 its reverse (401200401), we obtain a palindrome (9999009999).

The spelling of 10400210400 in words is "ten billion, four hundred million, two hundred ten thousand, four hundred".