1056633631640 has 128 divisors (see below), whose sum is σ = 2564081688960. Its totient is φ = 390843408384.

The previous prime is 1056633631637. The next prime is 1056633631693. The reversal of 1056633631640 is 461363366501.

It is a super-2 number, since 2×1056633631640² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056633631591 and 1056633631600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5245424 + ... + 5443136.

It is an arithmetic number, because the mean of its divisors is an integer number (20031888195).

Almost surely, 2^{1056633631640} is an apocalyptic number.

1056633631640 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 1056633631640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282040844480).

1056633631640 is an abundant number, since it is smaller than the sum of its proper divisors (1507448057320).

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

1056633631640 is a wasteful number, since it uses less digits than its factorization.

1056633631640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197941 (or 197937 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 44.

The spelling of 1056633631640 in words is "one trillion, fifty-six billion, six hundred thirty-three million, six hundred thirty-one thousand, six hundred forty".