13671078400 has 360 divisors, whose sum is σ = 40086246816. Its totient is φ = 4606156800.

The previous prime is 13671078373. The next prime is 13671078401. The reversal of 13671078400 is 487017631.

It is a self number, because there is not a number n which added to its sum of digits gives 13671078400.

It is not an unprimeable number, because it can be changed into a prime (13671078401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44531047 + ... + 44531353.

Almost surely, 2^13671078400 is an apocalyptic number.

13671078400 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 13671078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20043123408).

13671078400 is an abundant number, since it is smaller than the sum of its proper divisors (26415168416).

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

13671078400 is an equidigital number, since it uses as much as digits as its factorization.

13671078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 13671078400 in words is "thirteen billion, six hundred seventy-one million, seventy-eight thousand, four hundred".