1381268400 has 60 divisors (see below), whose sum is σ = 4424666952. Its totient is φ = 368337920.

The previous prime is 1381268299. The next prime is 1381268417. The reversal of 1381268400 is 48621831.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574329 + ... + 576728.

Almost surely, 2^1381268400 is an apocalyptic number.

1381268400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1381268400 is an abundant number, since it is smaller than the sum of its proper divisors (3043398552).

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

1381268400 is a wasteful number, since it uses less digits than its factorization.

1381268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151078 (or 1151067 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1381268400 is about 37165.4194110601. The cubic root of 1381268400 is about 1113.6772774892.

The spelling of 1381268400 in words is "one billion, three hundred eighty-one million, two hundred sixty-eight thousand, four hundred".