10039992412320 has 1152 divisors, whose sum is σ = 41192733254400. Its totient is φ = 2199881908224.

The previous prime is 10039992412319. The next prime is 10039992412321. The reversal of 10039992412320 is 2321429993001.

It is a happy number.

10039992412320 is a `hidden beast` number, since 1 + 0 + 0 + 399 + 9 + 24 + 1 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10039992412319) and next prime (10039992412321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10039992412321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5193994074 + ... + 5193996006.

It is an arithmetic number, because the mean of its divisors is an integer number (35757580950).

Almost surely, 2^{10039992412320} is an apocalyptic number.

10039992412320 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 10039992412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20596366627200).

10039992412320 is an abundant number, since it is smaller than the sum of its proper divisors (31152740842080).

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

10039992412320 is a wasteful number, since it uses less digits than its factorization.

10039992412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10039992412320 in words is "ten trillion, thirty-nine billion, nine hundred ninety-two million, four hundred twelve thousand, three hundred twenty".