10380816432 has 240 divisors, whose sum is σ = 33858190080. Its totient is φ = 2907975168.

The previous prime is 10380816427. The next prime is 10380816469. The reversal of 10380816432 is 23461808301.

10380816432 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 0 + 8 + 1 + 643 + 2 = 666.

It is a super-2 number, since 2×10380816432² (a number of 21 digits) contains 22 as substring.

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

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, 11755863 + ... + 11756745.

It is an arithmetic number, because the mean of its divisors is an integer number (141075792).

Almost surely, 2^10380816432 is an apocalyptic number.

10380816432 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 10380816432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16929095040).

10380816432 is an abundant number, since it is smaller than the sum of its proper divisors (23477373648).

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

10380816432 is a wasteful number, since it uses less digits than its factorization.

10380816432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10380816432 in words is "ten billion, three hundred eighty million, eight hundred sixteen thousand, four hundred thirty-two".