940760953344 has 320 divisors, whose sum is σ = 2868229457280. Its totient is φ = 304231956480.

The previous prime is 940760953291. The next prime is 940760953369. The reversal of 940760953344 is 443359067049.

It is a happy number.

940760953344 is a `hidden beast` number, since 9 + 4 + 0 + 7 + 60 + 9 + 533 + 44 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190782559 + ... + 190787489.

It is an arithmetic number, because the mean of its divisors is an integer number (8963217054).

Almost surely, 2^940760953344 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 940760953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434114728640).

940760953344 is an abundant number, since it is smaller than the sum of its proper divisors (1927468503936).

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

940760953344 is a wasteful number, since it uses less digits than its factorization.

940760953344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 940760953344 in words is "nine hundred forty billion, seven hundred sixty million, nine hundred fifty-three thousand, three hundred forty-four".