10400124420 has 144 divisors (see below), whose sum is σ = 37297128960. Its totient is φ = 2295191808.

The previous prime is 10400124407. The next prime is 10400124451. The reversal of 10400124420 is 2442100401.

10400124420 is a `hidden beast` number, since 1 + 0 + 400 + 1 + 244 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10400124393 and 10400124402.

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, 105772 + ... + 178851.

It is an arithmetic number, because the mean of its divisors is an integer number (259007840).

Almost surely, 2^10400124420 is an apocalyptic number.

10400124420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400124420 is an abundant number, since it is smaller than the sum of its proper divisors (26897004540).

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

10400124420 is a wasteful number, since it uses less digits than its factorization.

10400124420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284674 (or 284669 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10400124420 its reverse (2442100401), we get a palindrome (12842224821).

The spelling of 10400124420 in words is "ten billion, four hundred million, one hundred twenty-four thousand, four hundred twenty".