3952641745440 has 120 divisors (see below), whose sum is σ = 13949531539020. Its totient is φ = 1054037795328.

The previous prime is 3952641745417. The next prime is 3952641745441. The reversal of 3952641745440 is 445471462593.

3952641745440 is a `hidden beast` number, since 3 + 9 + 5 + 26 + 4 + 1 + 74 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3947390134416 + 5251611024 = 1986804^2 + 72468^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (3952641745441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152480935 + ... + 152506854.

Almost surely, 2^{3952641745440} is an apocalyptic number.

3952641745440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3952641745440 is an abundant number, since it is smaller than the sum of its proper divisors (9996889793580).

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

3952641745440 is a wasteful number, since it uses less digits than its factorization.

3952641745440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304987816 (or 304987799 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3952641745440 in words is "three trillion, nine hundred fifty-two billion, six hundred forty-one million, seven hundred forty-five thousand, four hundred forty".