916330199040 has 768 divisors, whose sum is σ = 3347778470400. Its totient is φ = 237668401152.

The previous prime is 916330199023. The next prime is 916330199107. The reversal of 916330199040 is 40991033619.

916330199040 is a `hidden beast` number, since 9 + 1 + 633 + 0 + 1 + 9 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×916330199040² (a number of 25 digits) contains 22 as substring.

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

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, 1675192047 + ... + 1675192593.

It is an arithmetic number, because the mean of its divisors is an integer number (4359086550).

Almost surely, 2^916330199040 is an apocalyptic number.

916330199040 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 916330199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673889235200).

916330199040 is an abundant number, since it is smaller than the sum of its proper divisors (2431448271360).

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

916330199040 is a wasteful number, since it uses less digits than its factorization.

916330199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 916330199040 in words is "nine hundred sixteen billion, three hundred thirty million, one hundred ninety-nine thousand, forty".