42413289624 has 96 divisors (see below), whose sum is σ = 116432316000. Its totient is φ = 13946144256.

The previous prime is 42413289617. The next prime is 42413289629. The reversal of 42413289624 is 42698231424.

42413289624 is a `hidden beast` number, since 4 + 2 + 4 + 13 + 2 + 8 + 9 + 624 = 666.

It is a super-2 number, since 2×42413289624² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42413289624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42413289629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2805574 + ... + 2820650.

It is an arithmetic number, because the mean of its divisors is an integer number (1212836625).

Almost surely, 2^42413289624 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 42413289624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58216158000).

42413289624 is an abundant number, since it is smaller than the sum of its proper divisors (74019026376).

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

42413289624 is a wasteful number, since it uses less digits than its factorization.

42413289624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15617 (or 15610 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 42413289624 in words is "forty-two billion, four hundred thirteen million, two hundred eighty-nine thousand, six hundred twenty-four".