1056615422240 has 192 divisors, whose sum is σ = 3019873570560. Its totient is φ = 341641359360.

The previous prime is 1056615422227. The next prime is 1056615422249. The reversal of 1056615422240 is 422245166501.

It is a super-2 number, since 2×1056615422240² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056615422194 and 1056615422203.

It is not an unprimeable number, because it can be changed into a prime (1056615422249) 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 31 ways as a sum of consecutive naturals, for example, 1018370 + ... + 1774910.

It is an arithmetic number, because the mean of its divisors is an integer number (15728508180).

Almost surely, 2^{1056615422240} is an apocalyptic number.

1056615422240 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 1056615422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509936785280).

1056615422240 is an abundant number, since it is smaller than the sum of its proper divisors (1963258148320).

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

1056615422240 is a wasteful number, since it uses less digits than its factorization.

1056615422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756635 (or 756627 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 1056615422240 in words is "one trillion, fifty-six billion, six hundred fifteen million, four hundred twenty-two thousand, two hundred forty".