1142117867520 has 1792 divisors, whose sum is σ = 4916095303680. Its totient is φ = 246140633088.

The previous prime is 1142117867467. The next prime is 1142117867621. The reversal of 1142117867520 is 257687112411.

1142117867520 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 117 + 8 + 6 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15645450204 + ... + 15645450276.

Almost surely, 2^{1142117867520} is an apocalyptic number.

1142117867520 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 1142117867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458047651840).

1142117867520 is an abundant number, since it is smaller than the sum of its proper divisors (3773977436160).

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

1142117867520 is an equidigital number, since it uses as much as digits as its factorization.

1142117867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 1142117867520 in words is "one trillion, one hundred forty-two billion, one hundred seventeen million, eight hundred sixty-seven thousand, five hundred twenty".