3942262868544 has 1008 divisors, whose sum is σ = 15959157312000. Its totient is φ = 945165957120.

The previous prime is 3942262868519. The next prime is 3942262868567. The reversal of 3942262868544 is 4458682622493.

3942262868544 is a `hidden beast` number, since 3 + 9 + 4 + 2 + 2 + 6 + 2 + 86 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133174257 + ... + 133203855.

Almost surely, 2^{3942262868544} 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 3942262868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979578656000).

3942262868544 is an abundant number, since it is smaller than the sum of its proper divisors (12016894443456).

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

3942262868544 is a wasteful number, since it uses less digits than its factorization.

3942262868544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29669 (or 29635 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 3942262868544 in words is "three trillion, nine hundred forty-two billion, two hundred sixty-two million, eight hundred sixty-eight thousand, five hundred forty-four".