142242624000 has 480 divisors, whose sum is σ = 524337225984. Its totient is φ = 37042790400.

The previous prime is 142242623993. The next prime is 142242624079. The reversal of 142242624000 is 426242241.

142242624000 is a `hidden beast` number, since 14 + 2 + 24 + 2 + 624 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24765129 + ... + 24770871.

Almost surely, 2^142242624000 is an apocalyptic number.

142242624000 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 142242624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262168612992).

142242624000 is an abundant number, since it is smaller than the sum of its proper divisors (382094601984).

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

142242624000 is an equidigital number, since it uses as much as digits as its factorization.

142242624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5796 counting only the distinct ones).

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

Adding to 142242624000 its reverse (426242241), we get a palindrome (142668866241).

The spelling of 142242624000 in words is "one hundred forty-two billion, two hundred forty-two million, six hundred twenty-four thousand".