1142333187840 has 864 divisors, whose sum is σ = 4494585775680. Its totient is φ = 265548201984.

The previous prime is 1142333187833. The next prime is 1142333187871. The reversal of 1142333187840 is 487813332411.

1142333187840 is a `hidden beast` number, since 1 + 1 + 423 + 3 + 3 + 187 + 8 + 40 = 666.

It is a super-2 number, since 2×1142333187840² (a number of 25 digits) contains 22 as substring.

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

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, 1687345582 + ... + 1687346258.

It is an arithmetic number, because the mean of its divisors is an integer number (5202066870).

Almost surely, 2^{1142333187840} is an apocalyptic number.

1142333187840 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 1142333187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247292887840).

1142333187840 is an abundant number, since it is smaller than the sum of its proper divisors (3352252587840).

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

1142333187840 is a wasteful number, since it uses less digits than its factorization.

1142333187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1142333187840 in words is "one trillion, one hundred forty-two billion, three hundred thirty-three million, one hundred eighty-seven thousand, eight hundred forty".