39970381824 has 448 divisors, whose sum is σ = 126387636480. Its totient is φ = 12612796416.

The previous prime is 39970381823. The next prime is 39970381831. The reversal of 39970381824 is 42818307993.

39970381824 is a `hidden beast` number, since 399 + 70 + 3 + 8 + 182 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (39970381823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412065744 + ... + 412065840.

It is an arithmetic number, because the mean of its divisors is an integer number (282115260).

Almost surely, 2^39970381824 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 39970381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63193818240).

39970381824 is an abundant number, since it is smaller than the sum of its proper divisors (86417254656).

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

39970381824 is an frugal number, since it uses more digits than its factorization.

39970381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 39970381824 in words is "thirty-nine billion, nine hundred seventy million, three hundred eighty-one thousand, eight hundred twenty-four".