42057713754 has 320 divisors, whose sum is σ = 117423820800. Its totient is φ = 10979338752.

The previous prime is 42057713743. The next prime is 42057713767. The reversal of 42057713754 is 45731775024.

42057713754 is a `hidden beast` number, since 4 + 2 + 0 + 577 + 1 + 3 + 75 + 4 = 666.

42057713754 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 159 ways as a sum of consecutive naturals, for example, 117152227 + ... + 117152585.

It is an arithmetic number, because the mean of its divisors is an integer number (366949440).

Almost surely, 2^42057713754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42057713754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58711910400).

42057713754 is an abundant number, since it is smaller than the sum of its proper divisors (75366107046).

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

42057713754 is a wasteful number, since it uses less digits than its factorization.

42057713754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 42057713754 in words is "forty-two billion, fifty-seven million, seven hundred thirteen thousand, seven hundred fifty-four".