142998332400 has 1080 divisors, whose sum is σ = 650803345920. Its totient is φ = 28408089600.

The previous prime is 142998332383. The next prime is 142998332401. The reversal of 142998332400 is 4233899241.

142998332400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142998332401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 70130581 + ... + 70132619.

Almost surely, 2^142998332400 is an apocalyptic number.

142998332400 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 142998332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325401672960).

142998332400 is an abundant number, since it is smaller than the sum of its proper divisors (507805013520).

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

142998332400 is a wasteful number, since it uses less digits than its factorization.

142998332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 142998332400 in words is "one hundred forty-two billion, nine hundred ninety-eight million, three hundred thirty-two thousand, four hundred".