1142668800 has 720 divisors, whose sum is σ = 5079154080. Its totient is φ = 238878720.

The previous prime is 1142668777. The next prime is 1142668831. The reversal of 1142668800 is 88662411.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10483146 + ... + 10483254.

Almost surely, 2^1142668800 is an apocalyptic number.

1142668800 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 1142668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539577040).

1142668800 is an abundant number, since it is smaller than the sum of its proper divisors (3936485280).

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

1142668800 is a wasteful number, since it uses less digits than its factorization.

1142668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

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

The square root of 1142668800 is about 33803.3844459397. The cubic root of 1142668800 is about 1045.4584803197.

The spelling of 1142668800 in words is "one billion, one hundred forty-two million, six hundred sixty-eight thousand, eight hundred".