42461522472 has 64 divisors (see below), whose sum is σ = 112681696320. Its totient is φ = 13287656448.

The previous prime is 42461522459. The next prime is 42461522479. The reversal of 42461522472 is 27422516424.

42461522472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42461522472.

It is not an unprimeable number, because it can be changed into a prime (42461522479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30903 + ... + 293049.

It is an arithmetic number, because the mean of its divisors is an integer number (1760651505).

Almost surely, 2^42461522472 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 42461522472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56340848160).

42461522472 is an abundant number, since it is smaller than the sum of its proper divisors (70220173848).

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

42461522472 is a wasteful number, since it uses less digits than its factorization.

42461522472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262570 (or 262566 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The spelling of 42461522472 in words is "forty-two billion, four hundred sixty-one million, five hundred twenty-two thousand, four hundred seventy-two".