42245375579232 has 384 divisors, whose sum is σ = 135033149841408. Its totient is φ = 11289048883200.

The previous prime is 42245375579227. The next prime is 42245375579257. The reversal of 42245375579232 is 23297557354224.

It is a happy number.

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, 1175980023 + ... + 1176015945.

It is an arithmetic number, because the mean of its divisors is an integer number (351648827712).

Almost surely, 2^{42245375579232} is an apocalyptic number.

42245375579232 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 42245375579232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67516574920704).

42245375579232 is an abundant number, since it is smaller than the sum of its proper divisors (92787774262176).

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

42245375579232 is a wasteful number, since it uses less digits than its factorization.

42245375579232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36602 (or 36594 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 60.

The spelling of 42245375579232 in words is "forty-two trillion, two hundred forty-five billion, three hundred seventy-five million, five hundred seventy-nine thousand, two hundred thirty-two".