42075463901796 has 144 divisors (see below), whose sum is σ = 115683937649280. Its totient is φ = 12816929756160.

The previous prime is 42075463901789. The next prime is 42075463901819. The reversal of 42075463901796 is 69710936457024.

42075463901796 is a `hidden beast` number, since 4 + 2 + 0 + 75 + 4 + 6 + 390 + 179 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170470636 + ... + 170717276.

It is an arithmetic number, because the mean of its divisors is an integer number (803360678120).

Almost surely, 2^{42075463901796} 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 42075463901796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57841968824640).

42075463901796 is an abundant number, since it is smaller than the sum of its proper divisors (73608473747484).

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

42075463901796 is a wasteful number, since it uses less digits than its factorization.

42075463901796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250306 (or 250301 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 42075463901796 in words is "forty-two trillion, seventy-five billion, four hundred sixty-three million, nine hundred one thousand, seven hundred ninety-six".