10472972400 has 720 divisors, whose sum is σ = 43003104768. Its totient is φ = 2331648000.

The previous prime is 10472972357. The next prime is 10472972431. The reversal of 10472972400 is 427927401.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31640235 + ... + 31640565.

Almost surely, 2^10472972400 is an apocalyptic number.

10472972400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10472972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21501552384).

10472972400 is an abundant number, since it is smaller than the sum of its proper divisors (32530132368).

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

10472972400 is a wasteful number, since it uses less digits than its factorization.

10472972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10472972400 in words is "ten billion, four hundred seventy-two million, nine hundred seventy-two thousand, four hundred".