42727383964125 has 128 divisors (see below), whose sum is σ = 90609588126720. Its totient is φ = 19462000896000.

The previous prime is 42727383964123. The next prime is 42727383964147. The reversal of 42727383964125 is 52146938372724.

It is a happy number.

42727383964125 is a `hidden beast` number, since 4 + 2 + 72 + 7 + 383 + 9 + 64 + 125 = 666.

It is not a de Polignac number, because 42727383964125 - 2¹ = 42727383964123 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42727383964123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3279565 + ... + 9808685.

It is an arithmetic number, because the mean of its divisors is an integer number (707887407240).

Almost surely, 2^{42727383964125} is an apocalyptic number.

42727383964125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42727383964125 is an abundant number, since it is smaller than the sum of its proper divisors (47882204162595).

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

42727383964125 is a wasteful number, since it uses less digits than its factorization.

42727383964125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6529429 (or 6529413 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 42727383964125 in words is "forty-two trillion, seven hundred twenty-seven billion, three hundred eighty-three million, nine hundred sixty-four thousand, one hundred twenty-five".