940111920 has 400 divisors, whose sum is σ = 3624366240. Its totient is φ = 225815040.

The previous prime is 940111903. The next prime is 940111927. The reversal of 940111920 is 29111049.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (940111927) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 8624826 + ... + 8624934.

Almost surely, 2^940111920 is an apocalyptic number.

940111920 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 940111920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812183120).

940111920 is an abundant number, since it is smaller than the sum of its proper divisors (2684254320).

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

940111920 is a wasteful number, since it uses less digits than its factorization.

940111920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 940111920 is about 30661.2445931342. The cubic root of 940111920 is about 979.6249849306.

Adding to 940111920 its reverse (29111049), we get a palindrome (969222969).

It can be divided in two parts, 9401 and 11920, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 940111920 in words is "nine hundred forty million, one hundred eleven thousand, nine hundred twenty".