14807820449400 has 576 divisors, whose sum is σ = 52818519398400. Its totient is φ = 3425009280000.

The previous prime is 14807820449341. The next prime is 14807820449419. The reversal of 14807820449400 is 494402870841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159746266 + ... + 159838934.

It is an arithmetic number, because the mean of its divisors is an integer number (91698818400).

Almost surely, 2^{14807820449400} is an apocalyptic number.

14807820449400 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 14807820449400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26409259699200).

14807820449400 is an abundant number, since it is smaller than the sum of its proper divisors (38010698949000).

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

14807820449400 is a wasteful number, since it uses less digits than its factorization.

14807820449400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92812 (or 92792 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 14807820449400 in words is "fourteen trillion, eight hundred seven billion, eight hundred twenty million, four hundred forty-nine thousand, four hundred".