1956114800640 has 4480 divisors, whose sum is σ = 10230792929280. Its totient is φ = 343985356800.

The previous prime is 1956114800581. The next prime is 1956114800657. The reversal of 1956114800640 is 460084116591.

1956114800640 is a `hidden beast` number, since 1 + 9 + 561 + 1 + 4 + 80 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×1956114800640² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 63100477425 + ... + 63100477455.

It is an arithmetic number, because the mean of its divisors is an integer number (2283659136).

Almost surely, 2^{1956114800640} is an apocalyptic number.

1956114800640 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 1956114800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115396464640).

1956114800640 is an abundant number, since it is smaller than the sum of its proper divisors (8274678128640).

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

1956114800640 is a wasteful number, since it uses less digits than its factorization.

1956114800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1956114800640 in words is "one trillion, nine hundred fifty-six billion, one hundred fourteen million, eight hundred thousand, six hundred forty".