39940064987520 has 768 divisors, whose sum is σ = 134528731545600. Its totient is φ = 10073761431552.

The previous prime is 39940064987519. The next prime is 39940064987527. The reversal of 39940064987520 is 2578946004993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39940064987527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14864183617 + ... + 14864186303.

It is an arithmetic number, because the mean of its divisors is an integer number (175167619200).

Almost surely, 2^{39940064987520} is an apocalyptic number.

39940064987520 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 39940064987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67264365772800).

39940064987520 is an abundant number, since it is smaller than the sum of its proper divisors (94588666558080).

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

39940064987520 is a wasteful number, since it uses less digits than its factorization.

39940064987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 39940064987520 in words is "thirty-nine trillion, nine hundred forty billion, sixty-four million, nine hundred eighty-seven thousand, five hundred twenty".