10471624400 has 30 divisors (see below), whose sum is σ = 25158078582. Its totient is φ = 4188649600.

The previous prime is 10471624399. The next prime is 10471624409. The reversal of 10471624400 is 442617401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1388009536 + 9083614864 = 37256^2 + 95308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10471624409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13089131 + ... + 13089930.

Almost surely, 2^10471624400 is an apocalyptic number.

10471624400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10471624400 is an abundant number, since it is smaller than the sum of its proper divisors (14686454182).

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

10471624400 is a wasteful number, since it uses less digits than its factorization.

10471624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26179079 (or 26179068 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 10471624400 in words is "ten billion, four hundred seventy-one million, six hundred twenty-four thousand, four hundred".