10400214400 has 48 divisors (see below), whose sum is σ = 25691787540. Its totient is φ = 4160084480.

The previous prime is 10400214361. The next prime is 10400214401. The reversal of 10400214400 is 441200401.

10400214400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1621834 + ... + 1628233.

Almost surely, 2^10400214400 is an apocalyptic number.

10400214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400214400 is an abundant number, since it is smaller than the sum of its proper divisors (15291573140).

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

10400214400 is an equidigital number, since it uses as much as digits as its factorization.

10400214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250091 (or 3250074 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10400214400 its reverse (441200401), we get a palindrome (10841414801).

The spelling of 10400214400 in words is "ten billion, four hundred million, two hundred fourteen thousand, four hundred".