70405295040 has 224 divisors, whose sum is σ = 248735453760. Its totient is φ = 18747445248.

The previous prime is 70405295039. The next prime is 70405295041. The reversal of 70405295040 is 4059250407.

70405295040 is a `hidden beast` number, since 7 + 0 + 40 + 529 + 50 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (70405295039) and next prime (70405295041).

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 = 70405294986 and 70405295004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70405295041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6327562 + ... + 6338678.

Almost surely, 2^70405295040 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 70405295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124367726880).

70405295040 is an abundant number, since it is smaller than the sum of its proper divisors (178330158720).

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

70405295040 is a wasteful number, since it uses less digits than its factorization.

70405295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11876 (or 11860 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 70405295040 in words is "seventy billion, four hundred five million, two hundred ninety-five thousand, forty".