14771259480400 has 120 divisors (see below), whose sum is σ = 36648456464984. Its totient is φ = 5717052057600.

The previous prime is 14771259480359. The next prime is 14771259480463. The reversal of 14771259480400 is 408495217741.

It can be written as a sum of positive squares in 12 ways, for example, as 4024244626704 + 10747014853696 = 2006052^2 + 3278264^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78267 + ... + 5435866.

Almost surely, 2^{14771259480400} is an apocalyptic number.

14771259480400 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 14771259480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18324228232492).

14771259480400 is an abundant number, since it is smaller than the sum of its proper divisors (21877196984584).

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

14771259480400 is a wasteful number, since it uses less digits than its factorization.

14771259480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514369 (or 5514358 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 14771259480400 in words is "fourteen trillion, seven hundred seventy-one billion, two hundred fifty-nine million, four hundred eighty thousand, four hundred".