10139430712320 has 2112 divisors, whose sum is σ = 45123358984704. Its totient is φ = 2048199229440.

The previous prime is 10139430712261. The next prime is 10139430712321. The reversal of 10139430712320 is 2321703493101.

10139430712320 is a `hidden beast` number, since 1 + 0 + 1 + 394 + 30 + 7 + 1 + 232 + 0 = 666.

It is a super-3 number, since 3×10139430712320³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10139430712321) 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, 9556484590 + ... + 9556485650.

It is an arithmetic number, because the mean of its divisors is an integer number (21365226792).

Almost surely, 2^{10139430712320} is an apocalyptic number.

10139430712320 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 10139430712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22561679492352).

10139430712320 is an abundant number, since it is smaller than the sum of its proper divisors (34983928272384).

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

10139430712320 is a wasteful number, since it uses less digits than its factorization.

10139430712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10139430712320 in words is "ten trillion, one hundred thirty-nine billion, four hundred thirty million, seven hundred twelve thousand, three hundred twenty".