13842326400 has 384 divisors, whose sum is σ = 53910835200. Its totient is φ = 3054428160.

The previous prime is 13842326387. The next prime is 13842326431. The reversal of 13842326400 is 462324831.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13842326400² (a number of 21 digits) contains 22 as substring.

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, 1945249 + ... + 1952351.

It is an arithmetic number, because the mean of its divisors is an integer number (140392800).

Almost surely, 2^13842326400 is an apocalyptic number.

13842326400 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 13842326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26955417600).

13842326400 is an abundant number, since it is smaller than the sum of its proper divisors (40068508800).

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

13842326400 is a wasteful number, since it uses less digits than its factorization.

13842326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 13842326400 in words is "thirteen billion, eight hundred forty-two million, three hundred twenty-six thousand, four hundred".