42345758952 has 384 divisors, whose sum is σ = 137702073600. Its totient is φ = 11507318784.

The previous prime is 42345758941. The next prime is 42345758957. The reversal of 42345758952 is 25985754324.

42345758952 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 5 + 7 + 589 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (42345758957) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152872638 + ... + 152872914.

It is an arithmetic number, because the mean of its divisors is an integer number (358599150).

Almost surely, 2^42345758952 is an apocalyptic number.

42345758952 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 42345758952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68851036800).

42345758952 is an abundant number, since it is smaller than the sum of its proper divisors (95356314648).

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

42345758952 is a wasteful number, since it uses less digits than its factorization.

42345758952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 42345758952 in words is "forty-two billion, three hundred forty-five million, seven hundred fifty-eight thousand, nine hundred fifty-two".