42251615224 has 128 divisors (see below), whose sum is σ = 98783556480. Its totient is φ = 16496640000.

The previous prime is 42251615213. The next prime is 42251615269.

42251615224 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42251615224.

It is a congruent number.

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, 29484012 + ... + 29485444.

It is an arithmetic number, because the mean of its divisors is an integer number (771746535).

Almost surely, 2^42251615224 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 42251615224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49391778240).

42251615224 is an abundant number, since it is smaller than the sum of its proper divisors (56531941256).

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

42251615224 is a wasteful number, since it uses less digits than its factorization.

42251615224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1957 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

The spelling of 42251615224 in words is "forty-two billion, two hundred fifty-one million, six hundred fifteen thousand, two hundred twenty-four".