116712919440 has 480 divisors, whose sum is σ = 441071519616. Its totient is φ = 28511170560.

The previous prime is 116712919423. The next prime is 116712919451. The reversal of 116712919440 is 44919217611.

116712919440 is a `hidden beast` number, since 11 + 67 + 129 + 19 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34620955 + ... + 34624325.

Almost surely, 2^116712919440 is an apocalyptic number.

116712919440 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 116712919440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220535759808).

116712919440 is an abundant number, since it is smaller than the sum of its proper divisors (324358600176).

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

116712919440 is a wasteful number, since it uses less digits than its factorization.

116712919440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 116712919440 in words is "one hundred sixteen billion, seven hundred twelve million, nine hundred nineteen thousand, four hundred forty".