1392768444384 has 288 divisors, whose sum is σ = 4417381332000. Its totient is φ = 413668933632.

The previous prime is 1392768444317. The next prime is 1392768444413. The reversal of 1392768444384 is 4834448672931.

1392768444384 is a `hidden beast` number, since 1 + 3 + 92 + 76 + 8 + 44 + 438 + 4 = 666.

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

It is a super-2 number, since 2×1392768444384² (a number of 25 digits) contains 22 as substring.

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, 166415752 + ... + 166424120.

It is an arithmetic number, because the mean of its divisors is an integer number (15338129625).

Almost surely, 2^{1392768444384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1392768444384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208690666000).

1392768444384 is an abundant number, since it is smaller than the sum of its proper divisors (3024612887616).

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

1392768444384 is a wasteful number, since it uses less digits than its factorization.

1392768444384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10210 (or 10199 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 1392768444384 in words is "one trillion, three hundred ninety-two billion, seven hundred sixty-eight million, four hundred forty-four thousand, three hundred eighty-four".