940079422800 has 1440 divisors, whose sum is σ = 3989444659200. Its totient is φ = 208160409600.

The previous prime is 940079422771. The next prime is 940079422811. The reversal of 940079422800 is 8224970049.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4724017101 + ... + 4724017299.

It is an arithmetic number, because the mean of its divisors is an integer number (2770447680).

Almost surely, 2^940079422800 is an apocalyptic number.

940079422800 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 940079422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994722329600).

940079422800 is an abundant number, since it is smaller than the sum of its proper divisors (3049365236400).

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

940079422800 is a wasteful number, since it uses less digits than its factorization.

940079422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 940079422800 in words is "nine hundred forty billion, seventy-nine million, four hundred twenty-two thousand, eight hundred".