940433886712320 has 7680 divisors, whose sum is σ = 4494048362496000. Its totient is φ = 162599967129600.

The previous prime is 940433886712279. The next prime is 940433886712349. The reversal of 940433886712320 is 23217688334049.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3934869818761 + ... + 3934869818999.

It is an arithmetic number, because the mean of its divisors is an integer number (585162547200).

Almost surely, 2^{940433886712320} 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 940433886712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247024181248000).

940433886712320 is an abundant number, since it is smaller than the sum of its proper divisors (3553614475783680).

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

940433886712320 is a wasteful number, since it uses less digits than its factorization.

940433886712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 940433886712320 in words is "nine hundred forty trillion, four hundred thirty-three billion, eight hundred eighty-six million, seven hundred twelve thousand, three hundred twenty".