42401115200 has 84 divisors (see below), whose sum is σ = 104443255680. Its totient is φ = 16942563840.

The previous prime is 42401115187. The next prime is 42401115259. The reversal of 42401115200 is 251110424.

It is a happy number.

42401115200 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1559321 + ... + 1586279.

Almost surely, 2^42401115200 is an apocalyptic number.

42401115200 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 42401115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52221627840).

42401115200 is an abundant number, since it is smaller than the sum of its proper divisors (62042140480).

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

42401115200 is a wasteful number, since it uses less digits than its factorization.

42401115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27964 (or 27949 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 42401115200 its reverse (251110424), we get a palindrome (42652225624).

The spelling of 42401115200 in words is "forty-two billion, four hundred one million, one hundred fifteen thousand, two hundred".