1366800400 has 60 divisors (see below), whose sum is σ = 3752851072. Its totient is φ = 468616320.

The previous prime is 1366800361. The next prime is 1366800419. The reversal of 1366800400 is 40086631.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 241272 + ... + 246871.

Almost surely, 2^1366800400 is an apocalyptic number.

1366800400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1366800400 is an abundant number, since it is smaller than the sum of its proper divisors (2386050672).

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

1366800400 is a wasteful number, since it uses less digits than its factorization.

1366800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488168 (or 488157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1366800400 is about 36970.2637264058. The cubic root of 1366800400 is about 1109.7752432959.

The spelling of 1366800400 in words is "one billion, three hundred sixty-six million, eight hundred thousand, four hundred".