1381248800 has 36 divisors (see below), whose sum is σ = 3371975586. Its totient is φ = 552499200.

The previous prime is 1381248787. The next prime is 1381248857. The reversal of 1381248800 is 88421831.

It can be written as a sum of positive squares in 3 ways, for example, as 920030224 + 461218576 = 30332^2 + 21476^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 862481 + ... + 864080.

Almost surely, 2^1381248800 is an apocalyptic number.

1381248800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1381248800 is an abundant number, since it is smaller than the sum of its proper divisors (1990726786).

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

1381248800 is a wasteful number, since it uses less digits than its factorization.

1381248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726581 (or 1726568 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 1381248800 is about 37165.1557241457. The cubic root of 1381248800 is about 1113.6720098241.

The spelling of 1381248800 in words is "one billion, three hundred eighty-one million, two hundred forty-eight thousand, eight hundred".