118414197959040 has 512 divisors, whose sum is σ = 423866068992000. Its totient is φ = 31241006899200.

The previous prime is 118414197959023. The next prime is 118414197959081. The reversal of 118414197959040 is 40959791414811.

118414197959040 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 1 + 419 + 7 + 95 + 90 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 787771890 + ... + 787922190.

It is an arithmetic number, because the mean of its divisors is an integer number (827863416000).

Almost surely, 2^{118414197959040} is an apocalyptic number.

118414197959040 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 118414197959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211933034496000).

118414197959040 is an abundant number, since it is smaller than the sum of its proper divisors (305451871032960).

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

118414197959040 is a wasteful number, since it uses less digits than its factorization.

118414197959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150815 (or 150797 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 118414197959040 in words is "one hundred eighteen trillion, four hundred fourteen billion, one hundred ninety-seven million, nine hundred fifty-nine thousand, forty".