142406400 has 108 divisors (see below), whose sum is σ = 470034152. Its totient is φ = 37969920.

The previous prime is 142406393. The next prime is 142406419. The reversal of 142406400 is 4604241.

It is a congruent number.

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, 15492 + ... + 22908.

Almost surely, 2^142406400 is an apocalyptic number.

142406400 is a gapful number since it is divisible by the number (10) 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 142406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235017076).

142406400 is an abundant number, since it is smaller than the sum of its proper divisors (327627752).

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

142406400 is an equidigital number, since it uses as much as digits as its factorization.

142406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7446 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 142406400 is about 11933.4152697373. The cubic root of 142406400 is about 522.2075773436.

The spelling of 142406400 in words is "one hundred forty-two million, four hundred six thousand, four hundred".