1396641577216 has 72 divisors (see below), whose sum is σ = 2848053451320. Its totient is φ = 683305598976.

The previous prime is 1396641577213. The next prime is 1396641577229. The reversal of 1396641577216 is 6127751466931.

It can be written as a sum of positive squares in 4 ways, for example, as 158531385600 + 1238110191616 = 398160^2 + 1112704^2 .

It is not an unprimeable number, because it can be changed into a prime (1396641577213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4922880 + ... + 5198848.

It is an arithmetic number, because the mean of its divisors is an integer number (39556297935).

Almost surely, 2^{1396641577216} is an apocalyptic number.

1396641577216 is a gapful number since it is divisible by the number (16) 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 1396641577216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424026725660).

1396641577216 is an abundant number, since it is smaller than the sum of its proper divisors (1451411874104).

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

1396641577216 is an equidigital number, since it uses as much as digits as its factorization.

1396641577216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276411 (or 276397 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 58.

The spelling of 1396641577216 in words is "one trillion, three hundred ninety-six billion, six hundred forty-one million, five hundred seventy-seven thousand, two hundred sixteen".