940095072000 has 2304 divisors, whose sum is σ = 4267165593600. Its totient is φ = 201553920000.

The previous prime is 940095071983. The next prime is 940095072011. The reversal of 940095072000 is 270590049.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9307871950 + ... + 9307872050.

It is an arithmetic number, because the mean of its divisors is an integer number (1852068400).

Almost surely, 2^940095072000 is an apocalyptic number.

940095072000 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 940095072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133582796800).

940095072000 is an abundant number, since it is smaller than the sum of its proper divisors (3327070521600).

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

940095072000 is an equidigital number, since it uses as much as digits as its factorization.

940095072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 940095072000 in words is "nine hundred forty billion, ninety-five million, seventy-two thousand".