142410400 has 72 divisors (see below), whose sum is σ = 379288224. Its totient is φ = 51782400.

The previous prime is 142410391. The next prime is 142410403. The reversal of 142410400 is 4014241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (142410403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 709 + ... + 16891.

It is an arithmetic number, because the mean of its divisors is an integer number (5267892).

Almost surely, 2^142410400 is an apocalyptic number.

142410400 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 142410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189644112).

142410400 is an abundant number, since it is smaller than the sum of its proper divisors (236877824).

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

142410400 is a wasteful number, since it uses less digits than its factorization.

142410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16214 (or 16201 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 142410400 is about 11933.5828651751. The cubic root of 142410400 is about 522.2124666621.

Adding to 142410400 its reverse (4014241), we get a palindrome (146424641).

The spelling of 142410400 in words is "one hundred forty-two million, four hundred ten thousand, four hundred".