42324641100 has 288 divisors, whose sum is σ = 156055011840. Its totient is φ = 9639924480.

The previous prime is 42324641089. The next prime is 42324641123. The reversal of 42324641100 is 114642324.

It is a happy number.

42324641100 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 4 + 641 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5533879 + ... + 5541521.

It is an arithmetic number, because the mean of its divisors is an integer number (541857680).

Almost surely, 2^42324641100 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 42324641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78027505920).

42324641100 is an abundant number, since it is smaller than the sum of its proper divisors (113730370740).

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

42324641100 is a wasteful number, since it uses less digits than its factorization.

42324641100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7966 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42324641100 in words is "forty-two billion, three hundred twenty-four million, six hundred forty-one thousand, one hundred".