10032906240 has 576 divisors, whose sum is σ = 41271793920. Its totient is φ = 2293235712.

The previous prime is 10032906239. The next prime is 10032906263. The reversal of 10032906240 is 4260923001.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)³ ⋅ 2!.

10032906240 is a `hidden beast` number, since 1 + 0 + 0 + 32 + 9 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1433272317 + ... + 1433272323.

It is an arithmetic number, because the mean of its divisors is an integer number (71652420).

Almost surely, 2^10032906240 is an apocalyptic number.

10032906240 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 10032906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20635896960).

10032906240 is an abundant number, since it is smaller than the sum of its proper divisors (31238887680).

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

10032906240 is an frugal number, since it uses more digits than its factorization.

10032906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10032906240 in words is "ten billion, thirty-two million, nine hundred six thousand, two hundred forty".