42225879072 has 192 divisors, whose sum is σ = 125840373120. Its totient is φ = 12290310144.

The previous prime is 42225879043. The next prime is 42225879089. The reversal of 42225879072 is 27097852224.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30753778 + ... + 30755150.

It is an arithmetic number, because the mean of its divisors is an integer number (655418610).

Almost surely, 2^42225879072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42225879072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62920186560).

42225879072 is an abundant number, since it is smaller than the sum of its proper divisors (83614494048).

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

42225879072 is a wasteful number, since it uses less digits than its factorization.

42225879072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 42225879072 in words is "forty-two billion, two hundred twenty-five million, eight hundred seventy-nine thousand, seventy-two".