117753676421040 has 240 divisors, whose sum is σ = 431564120690976. Its totient is φ = 28535925964800.

The previous prime is 117753676420943. The next prime is 117753676421071. The reversal of 117753676421040 is 40124676357711.

117753676421040 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 5 + 367 + 64 + 210 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18996592 + ... + 24420848.

Almost surely, 2^{117753676421040} is an apocalyptic number.

117753676421040 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 117753676421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215782060345488).

117753676421040 is an abundant number, since it is smaller than the sum of its proper divisors (313810444269936).

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

117753676421040 is a wasteful number, since it uses less digits than its factorization.

117753676421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427028 (or 5427019 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 117753676421040 in words is "one hundred seventeen trillion, seven hundred fifty-three billion, six hundred seventy-six million, four hundred twenty-one thousand, forty".