916134935040 has 1600 divisors, whose sum is σ = 3846343818240. Its totient is φ = 206391214080.

The previous prime is 916134935029. The next prime is 916134935047. The reversal of 916134935040 is 40539431619.

916134935040 is a `hidden beast` number, since 9 + 1 + 6 + 134 + 9 + 3 + 504 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (916134935047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1587755232 + ... + 1587755808.

Almost surely, 2^916134935040 is an apocalyptic number.

916134935040 is a gapful number since it is divisible by the number (90) 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 916134935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923171909120).

916134935040 is an abundant number, since it is smaller than the sum of its proper divisors (2930208883200).

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

916134935040 is a wasteful number, since it uses less digits than its factorization.

916134935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 916134935040 in words is "nine hundred sixteen billion, one hundred thirty-four million, nine hundred thirty-five thousand, forty".