42051615024 has 240 divisors, whose sum is σ = 120862264320. Its totient is φ = 12561753600.

The previous prime is 42051615017. The next prime is 42051615037.

42051615024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42051615024² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42051614982 and 42051615000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48726817 + ... + 48727679.

It is an arithmetic number, because the mean of its divisors is an integer number (503592768).

Almost surely, 2^42051615024 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 42051615024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60431132160).

42051615024 is an abundant number, since it is smaller than the sum of its proper divisors (78810649296).

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

42051615024 is a wasteful number, since it uses less digits than its factorization.

42051615024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 42051615024 in words is "forty-two billion, fifty-one million, six hundred fifteen thousand, twenty-four".