42002134400 has 48 divisors (see below), whose sum is σ = 103758405540. Its totient is φ = 16800852480.

The previous prime is 42002134399. The next prime is 42002134403. The reversal of 42002134400 is 443120024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002134403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6559634 + ... + 6566033.

Almost surely, 2^42002134400 is an apocalyptic number.

42002134400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002134400 is an abundant number, since it is smaller than the sum of its proper divisors (61756271140).

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

42002134400 is a wasteful number, since it uses less digits than its factorization.

42002134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13125691 (or 13125674 counting only the distinct ones).

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

Adding to 42002134400 its reverse (443120024), we get a palindrome (42445254424).

The spelling of 42002134400 in words is "forty-two billion, two million, one hundred thirty-four thousand, four hundred".