1316802150400 has 405 divisors, whose sum is σ = 3611583949953. Its totient is φ = 475899494400.

The previous prime is 1316802150383. The next prime is 1316802150401. The reversal of 1316802150400 is 40512086131.

The square root of 1316802150400 is 1147520.

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

It can be written as a sum of positive squares in only one way, i.e., 474048774144 + 842753376256 = 688512^2 + 918016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1316802150401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8078540719 + ... + 8078540881.

Almost surely, 2^{1316802150400} is an apocalyptic number.

1316802150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1316802150400 is the 1147520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316802150400

1316802150400 is an abundant number, since it is smaller than the sum of its proper divisors (2294781799553).

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

1316802150400 is an frugal number, since it uses more digits than its factorization.

1316802150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 1316802150400 in words is "one trillion, three hundred sixteen billion, eight hundred two million, one hundred fifty thousand, four hundred".