10400024420 has 12 divisors (see below), whose sum is σ = 21840051324. Its totient is φ = 4160009760.

The previous prime is 10400024381. The next prime is 10400024447. The reversal of 10400024420 is 2442000401.

It can be written as a sum of positive squares in 2 ways, for example, as 5828100964 + 4571923456 = 76342^2 + 67616^2 .

10400024420 is a modest number, since divided by 24420 gives 10400 as remainder.

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 3 ways as a sum of consecutive naturals, for example, 260000591 + ... + 260000630.

It is an arithmetic number, because the mean of its divisors is an integer number (1820004277).

Almost surely, 2^10400024420 is an apocalyptic number.

10400024420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400024420 is an abundant number, since it is smaller than the sum of its proper divisors (11440026904).

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

10400024420 is a wasteful number, since it uses less digits than its factorization.

10400024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520001230 (or 520001228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 10400024420 its reverse (2442000401), we get a palindrome (12842024821).

The spelling of 10400024420 in words is "ten billion, four hundred million, twenty-four thousand, four hundred twenty".