1396066636800 has 594 divisors, whose sum is σ = 5494415587934. Its totient is φ = 338433638400.

The previous prime is 1396066636793. The next prime is 1396066636801. The reversal of 1396066636800 is 86366606931.

It can be written as a sum of positive squares in 3 ways, for example, as 249488262144 + 1146578374656 = 499488^2 + 1070784^2 .

It is a super-2 number, since 2×1396066636800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396066636801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27853362 + ... + 27903438.

Almost surely, 2^{1396066636800} is an apocalyptic number.

1396066636800 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 1396066636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747207793967).

1396066636800 is an abundant number, since it is smaller than the sum of its proper divisors (4098348951134).

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

1396066636800 is a wasteful number, since it uses less digits than its factorization.

1396066636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50135 (or 50098 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 1396066636800 in words is "one trillion, three hundred ninety-six billion, sixty-six million, six hundred thirty-six thousand, eight hundred".