1392876334080 has 1056 divisors, whose sum is σ = 6037367431680. Its totient is φ = 288459325440.

The previous prime is 1392876334067. The next prime is 1392876334103. The reversal of 1392876334080 is 804336782931.

1392876334080 is a `hidden beast` number, since 1 + 3 + 92 + 87 + 63 + 340 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1621508691 + ... + 1621509549.

Almost surely, 2^{1392876334080} is an apocalyptic number.

1392876334080 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 1392876334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018683715840).

1392876334080 is an abundant number, since it is smaller than the sum of its proper divisors (4644491097600).

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

1392876334080 is a wasteful number, since it uses less digits than its factorization.

1392876334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1392876334080 in words is "one trillion, three hundred ninety-two billion, eight hundred seventy-six million, three hundred thirty-four thousand, eighty".