916013629440 has 2400 divisors, whose sum is σ = 4252303085184. Its totient is φ = 183458856960.

The previous prime is 916013629411. The next prime is 916013629459. The reversal of 916013629440 is 44926310619.

916013629440 is a `hidden beast` number, since 9 + 1 + 6 + 0 + 13 + 629 + 4 + 4 + 0 = 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 159 ways as a sum of consecutive naturals, for example, 22341795820 + ... + 22341795860.

Almost surely, 2^916013629440 is an apocalyptic number.

916013629440 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 916013629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126151542592).

916013629440 is an abundant number, since it is smaller than the sum of its proper divisors (3336289455744).

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

916013629440 is a wasteful number, since it uses less digits than its factorization.

916013629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

It can be divided in two parts, 91601 and 3629440, that added together give a square (3721041 = 1929²).

The spelling of 916013629440 in words is "nine hundred sixteen billion, thirteen million, six hundred twenty-nine thousand, four hundred forty".