42324502400 has 144 divisors (see below), whose sum is σ = 108291290640. Its totient is φ = 16344975360.

The previous prime is 42324502393. The next prime is 42324502433. The reversal of 42324502400 is 420542324.

It is a happy number.

42324502400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42324502400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2683337 + ... + 2699063.

Almost surely, 2^42324502400 is an apocalyptic number.

42324502400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42324502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54145645320).

42324502400 is an abundant number, since it is smaller than the sum of its proper divisors (65966788240).

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

42324502400 is a wasteful number, since it uses less digits than its factorization.

42324502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15809 (or 15763 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The spelling of 42324502400 in words is "forty-two billion, three hundred twenty-four million, five hundred two thousand, four hundred".