42507274320 has 240 divisors, whose sum is σ = 168773304960. Its totient is φ = 9380883456.

The previous prime is 42507274301. The next prime is 42507274321. The reversal of 42507274320 is 2347270524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42507274321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747 + ... + 291573.

It is an arithmetic number, because the mean of its divisors is an integer number (703222104).

Almost surely, 2^42507274320 is an apocalyptic number.

42507274320 is a gapful number since it is divisible by the number (40) 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 42507274320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84386652480).

42507274320 is an abundant number, since it is smaller than the sum of its proper divisors (126266030640).

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

42507274320 is a wasteful number, since it uses less digits than its factorization.

42507274320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290882 (or 290873 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 42507274320 in words is "forty-two billion, five hundred seven million, two hundred seventy-four thousand, three hundred twenty".