1142501875200 has 1080 divisors, whose sum is σ = 4910420623680. Its totient is φ = 252680601600.

The previous prime is 1142501875199. The next prime is 1142501875211. The reversal of 1142501875200 is 25781052411.

It is a happy number.

1142501875200 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 50 + 1 + 87 + 520 + 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 (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 174985536 + ... + 174992064.

Almost surely, 2^{1142501875200} is an apocalyptic number.

1142501875200 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 1142501875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455210311840).

1142501875200 is an abundant number, since it is smaller than the sum of its proper divisors (3767918748480).

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

1142501875200 is a wasteful number, since it uses less digits than its factorization.

1142501875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 1142501875200 in words is "one trillion, one hundred forty-two billion, five hundred one million, eight hundred seventy-five thousand, two hundred".