13660844400 has 1200 divisors, whose sum is σ = 60726589440. Its totient is φ = 2874009600.

The previous prime is 13660844357. The next prime is 13660844443. The reversal of 13660844400 is 444806631.

13660844400 is a `hidden beast` number, since 1 + 3 + 6 + 608 + 4 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13660844357) and next prime (13660844443).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×13660844400² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 203893167 + ... + 203893233.

Almost surely, 2^13660844400 is an apocalyptic number.

13660844400 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 13660844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30363294720).

13660844400 is an abundant number, since it is smaller than the sum of its proper divisors (47065745040).

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

13660844400 is a wasteful number, since it uses less digits than its factorization.

13660844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13660844400 in words is "thirteen billion, six hundred sixty million, eight hundred forty-four thousand, four hundred".