140012579502720 has 768 divisors, whose sum is σ = 507535109452800. Its totient is φ = 35499191304192.

The previous prime is 140012579502713. The next prime is 140012579502847. The reversal of 140012579502720 is 27205975210041.

140012579502720 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 2 + 5 + 79 + 502 + 72 + 0 = 666.

It is a super-3 number, since 3×140012579502720³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18775989232 + ... + 18775996688.

It is an arithmetic number, because the mean of its divisors is an integer number (660853007100).

Almost surely, 2^{140012579502720} is an apocalyptic number.

140012579502720 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 140012579502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253767554726400).

140012579502720 is an abundant number, since it is smaller than the sum of its proper divisors (367522529950080).

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

140012579502720 is a wasteful number, since it uses less digits than its factorization.

140012579502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 140012579502720 in words is "one hundred forty trillion, twelve billion, five hundred seventy-nine million, five hundred two thousand, seven hundred twenty".