940934382336 has 864 divisors, whose sum is σ = 3197676605760. Its totient is φ = 273898340352.

The previous prime is 940934382331. The next prime is 940934382391. The reversal of 940934382336 is 633283439049.

940934382336 is a `hidden beast` number, since 94 + 0 + 93 + 438 + 2 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (940934382331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1242977670 + ... + 1242978426.

It is an arithmetic number, because the mean of its divisors is an integer number (3701014590).

Almost surely, 2^940934382336 is an apocalyptic number.

940934382336 is a gapful number since it is divisible by the number (96) 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 940934382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598838302880).

940934382336 is an abundant number, since it is smaller than the sum of its proper divisors (2256742223424).

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

940934382336 is a wasteful number, since it uses less digits than its factorization.

940934382336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 940934382336 in words is "nine hundred forty billion, nine hundred thirty-four million, three hundred eighty-two thousand, three hundred thirty-six".