70140992403456 has 1152 divisors, whose sum is σ = 235833128294400. Its totient is φ = 19917424558080.

The previous prime is 70140992403397. The next prime is 70140992403481. The reversal of 70140992403456 is 65430429904107.

70140992403456 is a `hidden beast` number, since 7 + 0 + 140 + 9 + 9 + 2 + 40 + 3 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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, 17879425111 + ... + 17879429033.

It is an arithmetic number, because the mean of its divisors is an integer number (204716257200).

Almost surely, 2^{70140992403456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70140992403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117916564147200).

70140992403456 is an abundant number, since it is smaller than the sum of its proper divisors (165692135890944).

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

70140992403456 is a wasteful number, since it uses less digits than its factorization.

70140992403456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 70140992403456 in words is "seventy trillion, one hundred forty billion, nine hundred ninety-two million, four hundred three thousand, four hundred fifty-six".