940801378608 has 1280 divisors, whose sum is σ = 3703229644800. Its totient is φ = 221709312000.

The previous prime is 940801378597. The next prime is 940801378609. The reversal of 940801378608 is 806873108049.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (940801378609) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 949344993 + ... + 949345983.

It is an arithmetic number, because the mean of its divisors is an integer number (2893148160).

Almost surely, 2^940801378608 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 940801378608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851614822400).

940801378608 is an abundant number, since it is smaller than the sum of its proper divisors (2762428266192).

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

940801378608 is a wasteful number, since it uses less digits than its factorization.

940801378608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 940801378608 in words is "nine hundred forty billion, eight hundred one million, three hundred seventy-eight thousand, six hundred eight".