940039819600896 has 3168 divisors, whose sum is σ = 3460328046739200. Its totient is φ = 254725456527360.

The previous prime is 940039819600877. The next prime is 940039819601011. The reversal of 940039819600896 is 698006918930049.

940039819600896 is a `hidden beast` number, since 9 + 4 + 0 + 0 + 3 + 9 + 8 + 1 + 9 + 600 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5987514774450 + ... + 5987514774606.

Almost surely, 2^{940039819600896} is an apocalyptic number.

940039819600896 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 940039819600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730164023369600).

940039819600896 is an abundant number, since it is smaller than the sum of its proper divisors (2520288227138304).

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

940039819600896 is an equidigital number, since it uses as much as digits as its factorization.

940039819600896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 940039819600896 in words is "nine hundred forty trillion, thirty-nine billion, eight hundred nineteen million, six hundred thousand, eight hundred ninety-six".