42755274432 has 336 divisors, whose sum is σ = 137147381280. Its totient is φ = 12644352000.

The previous prime is 42755274427. The next prime is 42755274451. The reversal of 42755274432 is 23447255724.

42755274432 is a `hidden beast` number, since 4 + 27 + 552 + 7 + 44 + 32 = 666.

42755274432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 87077707 + ... + 87078197.

It is an arithmetic number, because the mean of its divisors is an integer number (408176730).

Almost surely, 2^42755274432 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 42755274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68573690640).

42755274432 is an abundant number, since it is smaller than the sum of its proper divisors (94392106848).

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

42755274432 is a wasteful number, since it uses less digits than its factorization.

42755274432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 939 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 45.

The spelling of 42755274432 in words is "forty-two billion, seven hundred fifty-five million, two hundred seventy-four thousand, four hundred thirty-two".