142431440400 has 360 divisors, whose sum is σ = 521473811040. Its totient is φ = 35900928000.

The previous prime is 142431440369. The next prime is 142431440423. The reversal of 142431440400 is 4044134241.

142431440400 is a `hidden beast` number, since 1 + 4 + 243 + 14 + 4 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33582280 + ... + 33586520.

It is an arithmetic number, because the mean of its divisors is an integer number (1448538364).

Almost surely, 2^142431440400 is an apocalyptic number.

142431440400 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 142431440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260736905520).

142431440400 is an abundant number, since it is smaller than the sum of its proper divisors (379042370640).

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

142431440400 is a wasteful number, since it uses less digits than its factorization.

142431440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 142431440400 its reverse (4044134241), we get a palindrome (146475574641).

The spelling of 142431440400 in words is "one hundred forty-two billion, four hundred thirty-one million, four hundred forty thousand, four hundred".