13423810400 has 288 divisors, whose sum is σ = 44002683648. Its totient is φ = 3861964800.

The previous prime is 13423810339. The next prime is 13423810417. The reversal of 13423810400 is 401832431.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13423810400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 792419 + ... + 809181.

It is an arithmetic number, because the mean of its divisors is an integer number (152787096).

Almost surely, 2^13423810400 is an apocalyptic number.

13423810400 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 13423810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22001341824).

13423810400 is an abundant number, since it is smaller than the sum of its proper divisors (30578873248).

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

13423810400 is a wasteful number, since it uses less digits than its factorization.

13423810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16814 (or 16801 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 13423810400 in words is "thirteen billion, four hundred twenty-three million, eight hundred ten thousand, four hundred".