39947561845920 has 144 divisors (see below), whose sum is σ = 142248057299712. Its totient is φ = 10189523013120.

The previous prime is 39947561845909. The next prime is 39947561845921. The reversal of 39947561845920 is 2954816574993.

39947561845920 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 7 + 561 + 8 + 4 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (39947561845921) 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 23 ways as a sum of consecutive naturals, for example, 603039976 + ... + 603106215.

It is an arithmetic number, because the mean of its divisors is an integer number (987833731248).

It is a 4-persistent number, because k⋅39947561845920 is pandigital for 1 ≤ k ≤ 4, but not for k = 5.

Almost surely, 2^{39947561845920} is an apocalyptic number.

39947561845920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39947561845920 is an abundant number, since it is smaller than the sum of its proper divisors (102300495453792).

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

39947561845920 is a wasteful number, since it uses less digits than its factorization.

39947561845920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206146235 (or 1206146224 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 39947561845920 in words is "thirty-nine trillion, nine hundred forty-seven billion, five hundred sixty-one million, eight hundred forty-five thousand, nine hundred twenty".