142811942400 has 300 divisors, whose sum is σ = 528561332112. Its totient is φ = 38082908160.

The previous prime is 142811942389. The next prime is 142811942407. The reversal of 142811942400 is 4249118241.

142811942400 is a `hidden beast` number, since 1 + 428 + 1 + 194 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142811942407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 967929 + ... + 1105671.

Almost surely, 2^142811942400 is an apocalyptic number.

142811942400 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 142811942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264280666056).

142811942400 is an abundant number, since it is smaller than the sum of its proper divisors (385749389712).

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

142811942400 is an equidigital number, since it uses as much as digits as its factorization.

142811942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137783 (or 137753 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 1428 and 11942400, that added together give a triangular number (11943828 = T₄₈₈₇).

The spelling of 142811942400 in words is "one hundred forty-two billion, eight hundred eleven million, nine hundred forty-two thousand, four hundred".