3941458874496 has 768 divisors, whose sum is σ = 14015350702080. Its totient is φ = 1046139494400.

The previous prime is 3941458874467. The next prime is 3941458874557. The reversal of 3941458874496 is 6944788541493.

3941458874496 is a `hidden beast` number, since 3 + 9 + 4 + 1 + 4 + 58 + 87 + 4 + 496 = 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 95 ways as a sum of consecutive naturals, for example, 481189761 + ... + 481197951.

It is an arithmetic number, because the mean of its divisors is an integer number (18249154560).

Almost surely, 2^{3941458874496} is an apocalyptic number.

3941458874496 is a gapful number since it is divisible by the number (36) 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 3941458874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007675351040).

3941458874496 is an abundant number, since it is smaller than the sum of its proper divisors (10073891827584).

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

3941458874496 is a wasteful number, since it uses less digits than its factorization.

3941458874496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8370 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 3941458874496 in words is "three trillion, nine hundred forty-one billion, four hundred fifty-eight million, eight hundred seventy-four thousand, four hundred ninety-six".