142321210400 has 144 divisors (see below), whose sum is σ = 359409496320. Its totient is φ = 54989798400.

The previous prime is 142321210349. The next prime is 142321210529. The reversal of 142321210400 is 4012123241.

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

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, 4097105 + ... + 4131695.

It is an arithmetic number, because the mean of its divisors is an integer number (2495899280).

Almost surely, 2^142321210400 is an apocalyptic number.

142321210400 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 142321210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179704748160).

142321210400 is an abundant number, since it is smaller than the sum of its proper divisors (217088285920).

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

142321210400 is a wasteful number, since it uses less digits than its factorization.

142321210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34787 (or 34774 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 142321210400 its reverse (4012123241), we get a palindrome (146333333641).

The spelling of 142321210400 in words is "one hundred forty-two billion, three hundred twenty-one million, two hundred ten thousand, four hundred".