940095217152 has 800 divisors, whose sum is σ = 3656854821312. Its totient is φ = 233336733696.

The previous prime is 940095217147. The next prime is 940095217207. The reversal of 940095217152 is 251712590049.

940095217152 is a `hidden beast` number, since 9 + 4 + 0 + 0 + 9 + 521 + 71 + 52 = 666.

It is a super-2 number, since 2×940095217152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 940095217098 and 940095217107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64149858 + ... + 64164510.

Almost surely, 2^940095217152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940095217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828427410656).

940095217152 is an abundant number, since it is smaller than the sum of its proper divisors (2716759604160).

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

940095217152 is a wasteful number, since it uses less digits than its factorization.

940095217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14720 (or 14695 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 940095217152 in words is "nine hundred forty billion, ninety-five million, two hundred seventeen thousand, one hundred fifty-two".