42457481088 has 256 divisors, whose sum is σ = 127800288000. Its totient is φ = 12370821120.

The previous prime is 42457481081. The next prime is 42457481119. The reversal of 42457481088 is 88018475424.

It is a happy number.

42457481088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42457481088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42457481081) 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, 37605708 + ... + 37606836.

It is an arithmetic number, because the mean of its divisors is an integer number (499219875).

Almost surely, 2^42457481088 is an apocalyptic number.

42457481088 is a gapful number since it is divisible by the number (48) 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 42457481088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63900144000).

42457481088 is an abundant number, since it is smaller than the sum of its proper divisors (85342806912).

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

42457481088 is a wasteful number, since it uses less digits than its factorization.

42457481088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 51.

The spelling of 42457481088 in words is "forty-two billion, four hundred fifty-seven million, four hundred eighty-one thousand, eighty-eight".