656190311040 has 768 divisors, whose sum is σ = 2610452707200. Its totient is φ = 150214901760.

The previous prime is 656190311033. The next prime is 656190311041. The reversal of 656190311040 is 40113091656.

656190311040 is a `hidden beast` number, since 6 + 5 + 619 + 0 + 31 + 1 + 0 + 4 + 0 = 666.

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 = 656190310986 and 656190311004.

It is not an unprimeable number, because it can be changed into a prime (656190311041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 477923794 + ... + 477925166.

Almost surely, 2^656190311040 is an apocalyptic number.

656190311040 is a gapful number since it is divisible by the number (60) 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 656190311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305226353600).

656190311040 is an abundant number, since it is smaller than the sum of its proper divisors (1954262396160).

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

656190311040 is a wasteful number, since it uses less digits than its factorization.

656190311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 656190311040 in words is "six hundred fifty-six billion, one hundred ninety million, three hundred eleven thousand, forty".