117057149440 has 320 divisors, whose sum is σ = 365145200640. Its totient is φ = 34897674240.

The previous prime is 117057149393. The next prime is 117057149459. The reversal of 117057149440 is 44941750711.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4520851 + ... + 4546669.

It is an arithmetic number, because the mean of its divisors is an integer number (1141078752).

Almost surely, 2^117057149440 is an apocalyptic number.

117057149440 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 117057149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182572600320).

117057149440 is an abundant number, since it is smaller than the sum of its proper divisors (248088051200).

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

117057149440 is a wasteful number, since it uses less digits than its factorization.

117057149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25883 (or 25867 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 117057149440 in words is "one hundred seventeen billion, fifty-seven million, one hundred forty-nine thousand, four hundred forty".