1399063152400 has 45 divisors (see below), whose sum is σ = 3361306059103. Its totient is φ = 559615798400.

The previous prime is 1399063152371. The next prime is 1399063152401. The reversal of 1399063152400 is 42513609931.

It is a happy number.

The square root of 1399063152400 is 1182820.

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

It can be written as a sum of positive squares in 4 ways, for example, as 463627024 + 1398599525376 = 21532^2 + 1182624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1399063152401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23626830 + ... + 23685970.

Almost surely, 2^{1399063152400} is an apocalyptic number.

1399063152400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1399063152400 is the 1182820-th square number.

It is an amenable number.

1399063152400 is an abundant number, since it is smaller than the sum of its proper divisors (1962242906703).

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

1399063152400 is an frugal number, since it uses more digits than its factorization.

1399063152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118300 (or 59148 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 1399063152400 in words is "one trillion, three hundred ninety-nine billion, sixty-three million, one hundred fifty-two thousand, four hundred".