42304134400 has 216 divisors, whose sum is σ = 116112755808. Its totient is φ = 15129600000.

The previous prime is 42304134361. The next prime is 42304134413. The reversal of 42304134400 is 443140324.

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

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, 4289475 + ... + 4299325.

Almost surely, 2^42304134400 is an apocalyptic number.

42304134400 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 42304134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58056377904).

42304134400 is an abundant number, since it is smaller than the sum of its proper divisors (73808621408).

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

42304134400 is a wasteful number, since it uses less digits than its factorization.

42304134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9949 (or 9930 counting only the distinct ones).

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

Adding to 42304134400 its reverse (443140324), we get a palindrome (42747274724).

The spelling of 42304134400 in words is "forty-two billion, three hundred four million, one hundred thirty-four thousand, four hundred".