142450606800 has 480 divisors, whose sum is σ = 525929314560. Its totient is φ = 36590745600.

The previous prime is 142450606759. The next prime is 142450606811. The reversal of 142450606800 is 8606054241.

142450606800 is a `hidden beast` number, since 1 + 4 + 2 + 45 + 0 + 606 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41157070 + ... + 41160530.

It is an arithmetic number, because the mean of its divisors is an integer number (1095686072).

Almost surely, 2^142450606800 is an apocalyptic number.

142450606800 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 142450606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262964657280).

142450606800 is an abundant number, since it is smaller than the sum of its proper divisors (383478707760).

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

142450606800 is a wasteful number, since it uses less digits than its factorization.

142450606800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 142450606800 in words is "one hundred forty-two billion, four hundred fifty million, six hundred six thousand, eight hundred".