10400010120 has 64 divisors (see below), whose sum is σ = 34666704000. Its totient is φ = 2773335744.

The previous prime is 10400010079. The next prime is 10400010139. The reversal of 10400010120 is 2101000401.

It is a happy number.

It is a super-2 number, since 2×10400010120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4813740 + ... + 4815899.

It is an arithmetic number, because the mean of its divisors is an integer number (541667250).

Almost surely, 2^10400010120 is an apocalyptic number.

10400010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400010120 is an abundant number, since it is smaller than the sum of its proper divisors (24266693880).

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

10400010120 is a wasteful number, since it uses less digits than its factorization.

10400010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9629659 (or 9629649 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10400010120 its reverse (2101000401), we get a palindrome (12501010521).

The spelling of 10400010120 in words is "ten billion, four hundred million, ten thousand, one hundred twenty".