14838080400 has 1440 divisors, whose sum is σ = 66994462080. Its totient is φ = 2985984000.

The previous prime is 14838080357. The next prime is 14838080417. The reversal of 14838080400 is 408083841.

14838080400 is a `hidden beast` number, since 148 + 38 + 0 + 80 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 361904380 + ... + 361904420.

It is an arithmetic number, because the mean of its divisors is an integer number (46523932).

Almost surely, 2^14838080400 is an apocalyptic number.

14838080400 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 14838080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33497231040).

14838080400 is an abundant number, since it is smaller than the sum of its proper divisors (52156381680).

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

14838080400 is a wasteful number, since it uses less digits than its factorization.

14838080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14838080400 in words is "fourteen billion, eight hundred thirty-eight million, eighty thousand, four hundred".