39687968404000 has 192 divisors, whose sum is σ = 111858125783040. Its totient is φ = 13556716108800.

The previous prime is 39687968403997. The next prime is 39687968404003. The reversal of 39687968404000 is 40486978693.

It is an interprime number because it is at equal distance from previous prime (39687968403997) and next prime (39687968404003).

It is not an unprimeable number, because it can be changed into a prime (39687968404003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4897377 + ... + 10166623.

It is an arithmetic number, because the mean of its divisors is an integer number (582594405120).

Almost surely, 2^{39687968404000} 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 39687968404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55929062891520).

39687968404000 is an abundant number, since it is smaller than the sum of its proper divisors (72170157379040).

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

39687968404000 is a wasteful number, since it uses less digits than its factorization.

39687968404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269548 (or 5269530 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 64.

The spelling of 39687968404000 in words is "thirty-nine trillion, six hundred eighty-seven billion, nine hundred sixty-eight million, four hundred four thousand".