10390397472 has 960 divisors, whose sum is σ = 40981248000. Its totient is φ = 2560481280.

The previous prime is 10390397449. The next prime is 10390397527. The reversal of 10390397472 is 27479309301.

10390397472 is a `hidden beast` number, since 1 + 0 + 3 + 90 + 3 + 97 + 472 = 666.

It is a super-2 number, since 2×10390397472² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 335174097 + ... + 335174127.

It is an arithmetic number, because the mean of its divisors is an integer number (42688800).

Almost surely, 2^10390397472 is an apocalyptic number.

10390397472 is a gapful number since it is divisible by the number (12) 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 10390397472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490624000).

10390397472 is an abundant number, since it is smaller than the sum of its proper divisors (30590850528).

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

10390397472 is a wasteful number, since it uses less digits than its factorization.

10390397472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 10390397472 in words is "ten billion, three hundred ninety million, three hundred ninety-seven thousand, four hundred seventy-two".