13671206400 has 240 divisors, whose sum is σ = 45790020144. Its totient is φ = 3594977280.

The previous prime is 13671206383. The next prime is 13671206407. The reversal of 13671206400 is 460217631.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13671206407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2800762 + ... + 2805638.

Almost surely, 2^13671206400 is an apocalyptic number.

13671206400 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 13671206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22895010072).

13671206400 is an abundant number, since it is smaller than the sum of its proper divisors (32118813744).

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

13671206400 is an equidigital number, since it uses as much as digits as its factorization.

13671206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 13671206400 in words is "thirteen billion, six hundred seventy-one million, two hundred six thousand, four hundred".