42301012400 has 120 divisors (see below), whose sum is σ = 105806791920. Its totient is φ = 16232186880.

The previous prime is 42301012343. The next prime is 42301012417. The reversal of 42301012400 is 421010324.

42301012400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1809587 + ... + 1832813.

It is an arithmetic number, because the mean of its divisors is an integer number (881723266).

Almost surely, 2^42301012400 is an apocalyptic number.

42301012400 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 42301012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52903395960).

42301012400 is an abundant number, since it is smaller than the sum of its proper divisors (63505779520).

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

42301012400 is a wasteful number, since it uses less digits than its factorization.

42301012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23431 (or 23420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 42301012400 its reverse (421010324), we get a palindrome (42722022724).

The spelling of 42301012400 in words is "forty-two billion, three hundred one million, twelve thousand, four hundred".