42624122100 has 864 divisors, whose sum is σ = 162848077056. Its totient is φ = 8393932800.

The previous prime is 42624122089. The next prime is 42624122129. The reversal of 42624122100 is 122142624.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 698756070 + ... + 698756130.

Almost surely, 2^42624122100 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 42624122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81424038528).

42624122100 is an abundant number, since it is smaller than the sum of its proper divisors (120223954956).

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

42624122100 is a wasteful number, since it uses less digits than its factorization.

42624122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42624122100 its reverse (122142624), we get a palindrome (42746264724).

The spelling of 42624122100 in words is "forty-two billion, six hundred twenty-four million, one hundred twenty-two thousand, one hundred".