42025137162360 has 256 divisors, whose sum is σ = 138690580216320. Its totient is φ = 10186655846400.

The previous prime is 42025137162313. The next prime is 42025137162391. The reversal of 42025137162360 is 6326173152024.

It is a super-2 number, since 2×42025137162360² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2560782555 + ... + 2560798965.

It is an arithmetic number, because the mean of its divisors is an integer number (541760078970).

Almost surely, 2^{42025137162360} is an apocalyptic number.

42025137162360 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 42025137162360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69345290108160).

42025137162360 is an abundant number, since it is smaller than the sum of its proper divisors (96665443053960).

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

42025137162360 is a wasteful number, since it uses less digits than its factorization.

42025137162360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32491 (or 32465 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 42025137162360 in words is "forty-two trillion, twenty-five billion, one hundred thirty-seven million, one hundred sixty-two thousand, three hundred sixty".