1392470800900 has 81 divisors (see below), whose sum is σ = 3042156593119. Its totient is φ = 553235824960.

The previous prime is 1392470800873. The next prime is 1392470800949. The reversal of 1392470800900 is 90080742931.

The square root of 1392470800900 is 1180030.

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 321096755716 + 1071374045184 = 566654^2 + 1035072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2324658801 + ... + 2324659399.

Almost surely, 2^{1392470800900} is an apocalyptic number.

1392470800900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1392470800900 is the 1180030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1392470800900

1392470800900 is an abundant number, since it is smaller than the sum of its proper divisors (1649685792219).

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

1392470800900 is an frugal number, since it uses more digits than its factorization.

1392470800900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 1392470800900 in words is "one trillion, three hundred ninety-two billion, four hundred seventy million, eight hundred thousand, nine hundred".