142855943414400 has 672 divisors, whose sum is σ = 529303247228700. Its totient is φ = 38080731709440.

The previous prime is 142855943414341. The next prime is 142855943414413. The reversal of 142855943414400 is 4414349558241.

142855943414400 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 5 + 594 + 3 + 4 + 1 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9649074839616 + 133206868574784 = 3106296^2 + 11541528^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7252665352 + ... + 7252685048.

Almost surely, 2^{142855943414400} is an apocalyptic number.

142855943414400 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 142855943414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264651623614350).

142855943414400 is an abundant number, since it is smaller than the sum of its proper divisors (386447303814300).

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

142855943414400 is an equidigital number, since it uses as much as digits as its factorization.

142855943414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22848 (or 22816 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 142855943414400 in words is "one hundred forty-two trillion, eight hundred fifty-five billion, nine hundred forty-three million, four hundred fourteen thousand, four hundred".