940129920 has 192 divisors, whose sum is σ = 3437708040. Its totient is φ = 235929600.

The previous prime is 940129913. The next prime is 940129933. The reversal of 940129920 is 29921049.

It can be written as a sum of positive squares in 4 ways, for example, as 913006656 + 27123264 = 30216^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93120 + ... + 102720.

Almost surely, 2^940129920 is an apocalyptic number.

940129920 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 940129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718854020).

940129920 is an abundant number, since it is smaller than the sum of its proper divisors (2497578120).

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

940129920 is a wasteful number, since it uses less digits than its factorization.

940129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9643 (or 9628 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 940129920 is about 30661.5381218881. The cubic root of 940129920 is about 979.6312370717.

The spelling of 940129920 in words is "nine hundred forty million, one hundred twenty-nine thousand, nine hundred twenty".