940111958016 has 832 divisors, whose sum is σ = 3539644323840. Its totient is φ = 239462645760.

The previous prime is 940111957979. The next prime is 940111958029. The reversal of 940111958016 is 610859111049.

940111958016 is a `hidden beast` number, since 9 + 40 + 1 + 1 + 19 + 580 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451324911 + ... + 451326993.

Almost surely, 2^940111958016 is an apocalyptic number.

940111958016 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 940111958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769822161920).

940111958016 is an abundant number, since it is smaller than the sum of its proper divisors (2599532365824).

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

940111958016 is a wasteful number, since it uses less digits than its factorization.

940111958016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 940111958016 in words is "nine hundred forty billion, one hundred eleven million, nine hundred fifty-eight thousand, sixteen".