39948667146960 has 1920 divisors, whose sum is σ = 162212529733632. Its totient is φ = 8024260608000.

The previous prime is 39948667146923. The next prime is 39948667147043. The reversal of 39948667146960 is 6964176684993.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16693967524 + ... + 16693969916.

Almost surely, 2^{39948667146960} is an apocalyptic number.

39948667146960 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 39948667146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81106264866816).

39948667146960 is an abundant number, since it is smaller than the sum of its proper divisors (122263862586672).

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

39948667146960 is a wasteful number, since it uses less digits than its factorization.

39948667146960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 2539579392, while the sum is 78.

The spelling of 39948667146960 in words is "thirty-nine trillion, nine hundred forty-eight billion, six hundred sixty-seven million, one hundred forty-six thousand, nine hundred sixty".