42024401300 has 72 divisors (see below), whose sum is σ = 104332905600. Its totient is φ = 14392828800.

The previous prime is 42024401299. The next prime is 42024401303. The reversal of 42024401300 is 310442024.

42024401300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024401303) 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, 626801 + ... + 690599.

Almost surely, 2^42024401300 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 42024401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52166452800).

42024401300 is an abundant number, since it is smaller than the sum of its proper divisors (62308504300).

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

42024401300 is a wasteful number, since it uses less digits than its factorization.

42024401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64761 (or 64754 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42024401300 its reverse (310442024), we get a palindrome (42334843324).

The spelling of 42024401300 in words is "forty-two billion, twenty-four million, four hundred one thousand, three hundred".