1390333264992 has 288 divisors, whose sum is σ = 4633076448000. Its totient is φ = 387210378240.

The previous prime is 1390333264979. The next prime is 1390333265029. The reversal of 1390333264992 is 2994623330931.

1390333264992 is a `hidden beast` number, since 1 + 3 + 90 + 33 + 32 + 6 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43241242 + ... + 43273382.

It is an arithmetic number, because the mean of its divisors is an integer number (16087071000).

Almost surely, 2^{1390333264992} is an apocalyptic number.

1390333264992 is a gapful number since it is divisible by the number (12) 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 1390333264992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316538224000).

1390333264992 is an abundant number, since it is smaller than the sum of its proper divisors (3242743183008).

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

1390333264992 is a wasteful number, since it uses less digits than its factorization.

1390333264992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32706 (or 32695 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

It can be divided in two parts, 139033 and 3264992, that added together give a square (3404025 = 1845²).

The spelling of 1390333264992 in words is "one trillion, three hundred ninety billion, three hundred thirty-three million, two hundred sixty-four thousand, nine hundred ninety-two".