940758375997440 has 10752 divisors, whose sum is σ = 4847366600294400. Its totient is φ = 172298443161600.

The previous prime is 940758375997439. The next prime is 940758375997457. The reversal of 940758375997440 is 44799573857049.

940758375997440 is a `hidden beast` number, since 9 + 4 + 0 + 7 + 5 + 8 + 37 + 59 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (10752).

It is a super-2 number, since 2×940758375997440² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 940758375997440.

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 767 ways as a sum of consecutive naturals, for example, 20016135659497 + ... + 20016135659543.

It is an arithmetic number, because the mean of its divisors is an integer number (450833947200).

Almost surely, 2^{940758375997440} is an apocalyptic number.

940758375997440 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 940758375997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423683300147200).

940758375997440 is an abundant number, since it is smaller than the sum of its proper divisors (3906608224296960).

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

940758375997440 is a wasteful number, since it uses less digits than its factorization.

940758375997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 9601804800, while the sum is 81.

The spelling of 940758375997440 in words is "nine hundred forty trillion, seven hundred fifty-eight billion, three hundred seventy-five million, nine hundred ninety-seven thousand, four hundred forty".