39138494976000 has 2080 divisors, whose sum is σ = 172177388697600. Its totient is φ = 8655372288000.

The previous prime is 39138494975953. The next prime is 39138494976041. The reversal of 39138494976000 is 67949483193.

39138494976000 is a `hidden beast` number, since 3 + 9 + 1 + 3 + 84 + 9 + 497 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8999421826 + ... + 8999426174.

It is an arithmetic number, because the mean of its divisors is an integer number (82777590720).

Almost surely, 2^{39138494976000} is an apocalyptic number.

39138494976000 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 39138494976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86088694348800).

39138494976000 is an abundant number, since it is smaller than the sum of its proper divisors (133038893721600).

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

39138494976000 is an equidigital number, since it uses as much as digits as its factorization.

39138494976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 39138494976000 in words is "thirty-nine trillion, one hundred thirty-eight billion, four hundred ninety-four million, nine hundred seventy-six thousand".