70385293440 has 1440 divisors, whose sum is σ = 322798221900. Its totient is φ = 14561648640.

The previous prime is 70385293417. The next prime is 70385293481. The reversal of 70385293440 is 4439258307.

70385293440 is a `hidden beast` number, since 70 + 3 + 8 + 52 + 93 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67895682624 + 2489610816 = 260568^2 + 49896^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 179 ways as a sum of consecutive naturals, for example, 307359246 + ... + 307359474.

Almost surely, 2^70385293440 is an apocalyptic number.

70385293440 is a gapful number since it is divisible by the number (70) 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 70385293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161399110950).

70385293440 is an abundant number, since it is smaller than the sum of its proper divisors (252412928460).

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

70385293440 is a wasteful number, since it uses less digits than its factorization.

70385293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 70385293440 in words is "seventy billion, three hundred eighty-five million, two hundred ninety-three thousand, four hundred forty".