1399323384900 has 729 divisors, whose sum is σ = 5263794152253. Its totient is φ = 310022294400.

The previous prime is 1399323384853. The next prime is 1399323384923. The reversal of 1399323384900 is 94833239931.

The square root of 1399323384900 is 1182930.

It is a perfect power (a square), and thus also a powerful number.

1399323384900 is a `hidden beast` number, since 1 + 3 + 99 + 32 + 3 + 38 + 490 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 503756418564 + 895566966336 = 709758^2 + 946344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 10681857835 + ... + 10681857965.

Almost surely, 2^{1399323384900} is an apocalyptic number.

1399323384900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1399323384900 is the 1182930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1399323384900

1399323384900 is an abundant number, since it is smaller than the sum of its proper divisors (3864470767353).

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

1399323384900 is a wasteful number, since it uses less digits than its factorization.

1399323384900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 1399323384900 in words is "one trillion, three hundred ninety-nine billion, three hundred twenty-three million, three hundred eighty-four thousand, nine hundred".