70407241344 has 192 divisors, whose sum is σ = 234024785280. Its totient is φ = 20080435200.

The previous prime is 70407241309. The next prime is 70407241379. The reversal of 70407241344 is 44314270407.

It is a happy number.

70407241344 is a `hidden beast` number, since 7 + 0 + 407 + 241 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (70407241309) and next prime (70407241379).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 70407241299 and 70407241308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52009 + ... + 378839.

It is an arithmetic number, because the mean of its divisors is an integer number (1218879090).

Almost surely, 2^70407241344 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 70407241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117012392640).

70407241344 is an abundant number, since it is smaller than the sum of its proper divisors (163617543936).

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

70407241344 is a wasteful number, since it uses less digits than its factorization.

70407241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326879 (or 326864 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 70407241344 in words is "seventy billion, four hundred seven million, two hundred forty-one thousand, three hundred forty-four".