42240310400 has 192 divisors, whose sum is σ = 107189776320. Its totient is φ = 16438947840.

The previous prime is 42240310369. The next prime is 42240310433. The reversal of 42240310400 is 401304224.

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 23 ways as a sum of consecutive naturals, for example, 51324389 + ... + 51325211.

It is an arithmetic number, because the mean of its divisors is an integer number (558280085).

Almost surely, 2^42240310400 is an apocalyptic number.

42240310400 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 42240310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53594888160).

42240310400 is an abundant number, since it is smaller than the sum of its proper divisors (64949465920).

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

42240310400 is a wasteful number, since it uses less digits than its factorization.

42240310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1246 counting only the distinct ones).

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

Adding to 42240310400 its reverse (401304224), we get a palindrome (42641614624).

The spelling of 42240310400 in words is "forty-two billion, two hundred forty million, three hundred ten thousand, four hundred".