56341589040 has 320 divisors, whose sum is σ = 224162795520. Its totient is φ = 12855029760.

The previous prime is 56341588999. The next prime is 56341589071. The reversal of 56341589040 is 4098514365.

56341589040 is a `hidden beast` number, since 5 + 63 + 4 + 1 + 589 + 0 + 4 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 334177 + ... + 473663.

It is an arithmetic number, because the mean of its divisors is an integer number (700508736).

Almost surely, 2^56341589040 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 56341589040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112081397760).

56341589040 is an abundant number, since it is smaller than the sum of its proper divisors (167821206480).

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

56341589040 is a wasteful number, since it uses less digits than its factorization.

56341589040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139537 (or 139525 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56341589040 in words is "fifty-six billion, three hundred forty-one million, five hundred eighty-nine thousand, forty".