42747144394752 has 1152 divisors, whose sum is σ = 157960459238400. Its totient is φ = 11278993195008.

The previous prime is 42747144394727. The next prime is 42747144394763. The reversal of 42747144394752 is 25749344174724.

42747144394752 is a `hidden beast` number, since 4 + 2 + 7 + 471 + 4 + 4 + 3 + 94 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42747144394752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2323584018 + ... + 2323602414.

It is an arithmetic number, because the mean of its divisors is an integer number (137118454200).

Almost surely, 2^{42747144394752} is an apocalyptic number.

42747144394752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42747144394752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78980229619200).

42747144394752 is an abundant number, since it is smaller than the sum of its proper divisors (115213314843648).

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

42747144394752 is a wasteful number, since it uses less digits than its factorization.

42747144394752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18493 (or 18461 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 63.

The spelling of 42747144394752 in words is "forty-two trillion, seven hundred forty-seven billion, one hundred forty-four million, three hundred ninety-four thousand, seven hundred fifty-two".