42754684032 has 256 divisors, whose sum is σ = 133171200000. Its totient is φ = 13466539008.

The previous prime is 42754684031. The next prime is 42754684039. The reversal of 42754684032 is 23048645724.

It is a happy number.

42754684032 is a `hidden beast` number, since 4 + 27 + 546 + 84 + 0 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (42754684031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39332193 + ... + 39333279.

It is an arithmetic number, because the mean of its divisors is an integer number (520200000).

Almost surely, 2^42754684032 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 42754684032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66585600000).

42754684032 is an abundant number, since it is smaller than the sum of its proper divisors (90416515968).

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

42754684032 is a wasteful number, since it uses less digits than its factorization.

42754684032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 42754684032 in words is "forty-two billion, seven hundred fifty-four million, six hundred eighty-four thousand, thirty-two".