1361894400 has 396 divisors, whose sum is σ = 5108034672. Its totient is φ = 346030080.

The previous prime is 1361894399. The next prime is 1361894437. The reversal of 1361894400 is 44981631.

1361894400 is a `hidden beast` number, since 1 + 36 + 189 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5299072 + ... + 5299328.

Almost surely, 2^1361894400 is an apocalyptic number.

1361894400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554017336).

1361894400 is an abundant number, since it is smaller than the sum of its proper divisors (3746140272).

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

1361894400 is a wasteful number, since it uses less digits than its factorization.

1361894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1361894400 is about 36903.8534573288. The cubic root of 1361894400 is about 1108.4458405523.

The spelling of 1361894400 in words is "one billion, three hundred sixty-one million, eight hundred ninety-four thousand, four hundred".