1056656240640 has 3328 divisors, whose sum is σ = 5326451343360. Its totient is φ = 191527649280.

The previous prime is 1056656240573. The next prime is 1056656240681. The reversal of 1056656240640 is 460426566501.

1056656240640 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 6 + 562 + 40 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-2 number, since 2×1056656240640² (a number of 25 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 12730798039 + ... + 12730798121.

Almost surely, 2^{1056656240640} is an apocalyptic number.

1056656240640 is a gapful number since it is divisible by the number (10) 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 1056656240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663225671680).

1056656240640 is an abundant number, since it is smaller than the sum of its proper divisors (4269795102720).

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

1056656240640 is a wasteful number, since it uses less digits than its factorization.

1056656240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1056656240640 in words is "one trillion, fifty-six billion, six hundred fifty-six million, two hundred forty thousand, six hundred forty".