39830769492000 has 768 divisors, whose sum is σ = 137702149079040. Its totient is φ = 10051264512000.

The previous prime is 39830769491921. The next prime is 39830769492029. The reversal of 39830769492000 is 29496703893.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4235959299 + ... + 4235968701.

It is an arithmetic number, because the mean of its divisors is an integer number (179299673280).

Almost surely, 2^{39830769492000} is an apocalyptic number.

39830769492000 is a gapful number since it is divisible by the number (30) 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 39830769492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68851074539520).

39830769492000 is an abundant number, since it is smaller than the sum of its proper divisors (97871379587040).

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

39830769492000 is a wasteful number, since it uses less digits than its factorization.

39830769492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9714 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 39830769492000 in words is "thirty-nine trillion, eight hundred thirty billion, seven hundred sixty-nine million, four hundred ninety-two thousand".