10242571392 has 256 divisors, whose sum is σ = 31065120000. Its totient is φ = 3321077760.

The previous prime is 10242571369. The next prime is 10242571411. The reversal of 10242571392 is 29317524201.

10242571392 is a `hidden beast` number, since 10 + 2 + 4 + 257 + 1 + 392 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36450292 + ... + 36450572.

It is an arithmetic number, because the mean of its divisors is an integer number (121348125).

Almost surely, 2^10242571392 is an apocalyptic number.

10242571392 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 10242571392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15532560000).

10242571392 is an abundant number, since it is smaller than the sum of its proper divisors (20822548608).

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

10242571392 is a wasteful number, since it uses less digits than its factorization.

10242571392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10242571392 in words is "ten billion, two hundred forty-two million, five hundred seventy-one thousand, three hundred ninety-two".