42002332400 has 120 divisors (see below), whose sum is σ = 115777128480. Its totient is φ = 14344519680.

The previous prime is 42002332399. The next prime is 42002332483. The reversal of 42002332400 is 423320024.

42002332400 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690416 + ... + 748784.

It is an arithmetic number, because the mean of its divisors is an integer number (964809404).

Almost surely, 2^42002332400 is an apocalyptic number.

42002332400 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 42002332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57888564240).

42002332400 is an abundant number, since it is smaller than the sum of its proper divisors (73774796080).

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

42002332400 is a wasteful number, since it uses less digits than its factorization.

42002332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58651 (or 58640 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 42002332400 its reverse (423320024), we get a palindrome (42425652424).

The spelling of 42002332400 in words is "forty-two billion, two million, three hundred thirty-two thousand, four hundred".