940120828416 has 960 divisors, whose sum is σ = 3524601839616. Its totient is φ = 234101145600.

The previous prime is 940120828379. The next prime is 940120828481. The reversal of 940120828416 is 614828021049.

940120828416 is a `hidden beast` number, since 9 + 4 + 0 + 1 + 208 + 28 + 416 = 666.

It is a super-2 number, since 2×940120828416² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1396910256 + ... + 1396910928.

Almost surely, 2^940120828416 is an apocalyptic number.

940120828416 is a gapful number since it is divisible by the number (96) 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 940120828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762300919808).

940120828416 is an abundant number, since it is smaller than the sum of its proper divisors (2584481011200).

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

940120828416 is a wasteful number, since it uses less digits than its factorization.

940120828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 940120828416 in words is "nine hundred forty billion, one hundred twenty million, eight hundred twenty-eight thousand, four hundred sixteen".