1392073117344 has 1152 divisors, whose sum is σ = 5327562240000. Its totient is φ = 341568202752.

The previous prime is 1392073117343. The next prime is 1392073117399. The reversal of 1392073117344 is 4437113702931.

It is a super-2 number, since 2×1392073117344² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1392073117344.

It is not an unprimeable number, because it can be changed into a prime (1392073117343) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1439578749 + ... + 1439579715.

It is an arithmetic number, because the mean of its divisors is an integer number (4624620000).

Almost surely, 2^{1392073117344} is an apocalyptic number.

1392073117344 is a gapful number since it is divisible by the number (14) 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 1392073117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663781120000).

1392073117344 is an abundant number, since it is smaller than the sum of its proper divisors (3935489122656).

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

1392073117344 is a wasteful number, since it uses less digits than its factorization.

1392073117344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 1392073117344 in words is "one trillion, three hundred ninety-two billion, seventy-three million, one hundred seventeen thousand, three hundred forty-four".