42230406400 has 432 divisors, whose sum is σ = 130935369600. Its totient is φ = 13128007680.

The previous prime is 42230406397. The next prime is 42230406409. The reversal of 42230406400 is 460403224.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42230406409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34360986 + ... + 34362214.

Almost surely, 2^42230406400 is an apocalyptic number.

42230406400 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 42230406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65467684800).

42230406400 is an abundant number, since it is smaller than the sum of its proper divisors (88704963200).

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

42230406400 is a wasteful number, since it uses less digits than its factorization.

42230406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 42230406400 its reverse (460403224), we get a palindrome (42690809624).

The spelling of 42230406400 in words is "forty-two billion, two hundred thirty million, four hundred six thousand, four hundred".