56434170240 has 576 divisors, whose sum is σ = 230600682000. Its totient is φ = 12676866048.

The previous prime is 56434170239. The next prime is 56434170251. The reversal of 56434170240 is 4207143465.

56434170240 is a `hidden beast` number, since 5 + 6 + 4 + 341 + 70 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 56434170195 and 56434170204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16650466 + ... + 16653854.

Almost surely, 2^56434170240 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 56434170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115300341000).

56434170240 is an abundant number, since it is smaller than the sum of its proper divisors (174166511760).

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

56434170240 is a wasteful number, since it uses less digits than its factorization.

56434170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 56434170240 in words is "fifty-six billion, four hundred thirty-four million, one hundred seventy thousand, two hundred forty".