39717945000 has 400 divisors, whose sum is σ = 139908730500. Its totient is φ = 10523520000.

The previous prime is 39717944993. The next prime is 39717945049. The reversal of 39717945000 is 54971793.

39717945000 is a `hidden beast` number, since 3 + 9 + 71 + 79 + 4 + 500 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 206841924 + 39511103076 = 14382^2 + 198774^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 113804826 + ... + 113805174.

Almost surely, 2^39717945000 is an apocalyptic number.

39717945000 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 39717945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69954365250).

39717945000 is an abundant number, since it is smaller than the sum of its proper divisors (100190785500).

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

39717945000 is a wasteful number, since it uses less digits than its factorization.

39717945000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 39717945000 in words is "thirty-nine billion, seven hundred seventeen million, nine hundred forty-five thousand".