656364541440 has 160 divisors (see below), whose sum is σ = 2099761187040. Its totient is φ = 174909947904.

The previous prime is 656364541397. The next prime is 656364541463. The reversal of 656364541440 is 44145463656.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×656364541440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 656364541440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11406822 + ... + 11464218.

It is an arithmetic number, because the mean of its divisors is an integer number (13123507419).

Almost surely, 2^656364541440 is an apocalyptic number.

656364541440 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 656364541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049880593520).

656364541440 is an abundant number, since it is smaller than the sum of its proper divisors (1443396645600).

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

656364541440 is a wasteful number, since it uses less digits than its factorization.

656364541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58912 (or 58896 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 656364541440 in words is "six hundred fifty-six billion, three hundred sixty-four million, five hundred forty-one thousand, four hundred forty".