142291468800 has 1920 divisors, whose sum is σ = 629104734720. Its totient is φ = 31531991040.

The previous prime is 142291468763. The next prime is 142291468831. The reversal of 142291468800 is 8864192241.

142291468800 is a `hidden beast` number, since 1 + 4 + 22 + 91 + 468 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×142291468800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6186585589 + ... + 6186585611.

It is an arithmetic number, because the mean of its divisors is an integer number (327658716).

Almost surely, 2^142291468800 is an apocalyptic number.

142291468800 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 142291468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314552367360).

142291468800 is an abundant number, since it is smaller than the sum of its proper divisors (486813265920).

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

142291468800 is an equidigital number, since it uses as much as digits as its factorization.

142291468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 142291468800 in words is "one hundred forty-two billion, two hundred ninety-one million, four hundred sixty-eight thousand, eight hundred".