1390723332768 has 1536 divisors, whose sum is σ = 5469327360000. Its totient is φ = 340259512320.

The previous prime is 1390723332707. The next prime is 1390723332833. The reversal of 1390723332768 is 8672333270931.

1390723332768 is a `hidden beast` number, since 1 + 39 + 0 + 7 + 2 + 333 + 276 + 8 = 666.

It is a super-2 number, since 2×1390723332768² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4443205380 + ... + 4443205692.

It is an arithmetic number, because the mean of its divisors is an integer number (3560760000).

Almost surely, 2^{1390723332768} is an apocalyptic number.

1390723332768 is a gapful number since it is divisible by the number (18) 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 1390723332768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734663680000).

1390723332768 is an abundant number, since it is smaller than the sum of its proper divisors (4078604027232).

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

1390723332768 is a wasteful number, since it uses less digits than its factorization.

1390723332768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 1390723332768 in words is "one trillion, three hundred ninety billion, seven hundred twenty-three million, three hundred thirty-two thousand, seven hundred sixty-eight".