1381291200 has 126 divisors (see below), whose sum is σ = 4909486244. Its totient is φ = 368340480.

The previous prime is 1381291169. The next prime is 1381291207. The reversal of 1381291200 is 21921831.

It is not an unprimeable number, because it can be changed into a prime (1381291207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33562 + ... + 62361.

Almost surely, 2^1381291200 is an apocalyptic number.

1381291200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1381291200 is an abundant number, since it is smaller than the sum of its proper divisors (3528195044).

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

1381291200 is a wasteful number, since it uses less digits than its factorization.

1381291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95951 (or 95933 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1381291200 is about 37165.7261465453. The cubic root of 1381291200 is about 1113.6834051185.

The spelling of 1381291200 in words is "one billion, three hundred eighty-one million, two hundred ninety-one thousand, two hundred".