39968436094464 has 320 divisors, whose sum is σ = 112182259875840. Its totient is φ = 12629454888960.

The previous prime is 39968436094453. The next prime is 39968436094481. The reversal of 39968436094464 is 46449063486993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477689497 + ... + 477773159.

It is an arithmetic number, because the mean of its divisors is an integer number (350569562112).

Almost surely, 2^{39968436094464} 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 39968436094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56091129937920).

39968436094464 is an abundant number, since it is smaller than the sum of its proper divisors (72213823781376).

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

39968436094464 is a wasteful number, since it uses less digits than its factorization.

39968436094464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83921 (or 83905 counting only the distinct ones).

The product of its (nonzero) digits is 2902376448, while the sum is 75.

The spelling of 39968436094464 in words is "thirty-nine trillion, nine hundred sixty-eight billion, four hundred thirty-six million, ninety-four thousand, four hundred sixty-four".