42507140398080 has 352 divisors, whose sum is σ = 137524411284480. Its totient is φ = 11204995645440.

The previous prime is 42507140398057. The next prime is 42507140398117. The reversal of 42507140398080 is 8089304170524.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721567987 + ... + 721626893.

It is an arithmetic number, because the mean of its divisors is an integer number (390694350240).

Almost surely, 2^{42507140398080} is an apocalyptic number.

42507140398080 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 42507140398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68762205642240).

42507140398080 is an abundant number, since it is smaller than the sum of its proper divisors (95017270886400).

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

42507140398080 is a wasteful number, since it uses less digits than its factorization.

42507140398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59475 (or 59457 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 42507140398080 in words is "forty-two trillion, five hundred seven billion, one hundred forty million, three hundred ninety-eight thousand, eighty".