14721187712400 has 405 divisors, whose sum is σ = 55329885690339. Its totient is φ = 3622940305920.

The previous prime is 14721187712393. The next prime is 14721187712419. The reversal of 14721187712400 is 421778112741.

The square root of 14721187712400 is 3836820.

It is a perfect power (a square), and thus also a powerful number.

14721187712400 is a `hidden beast` number, since 1 + 47 + 21 + 187 + 7 + 1 + 2 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3794407909776 + 10926779802624 = 1947924^2 + 3305568^2 .

It is a super-2 number, since 2×14721187712400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2992717141 + ... + 2992722059.

Almost surely, 2^{14721187712400} is an apocalyptic number.

14721187712400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14721187712400 is the 3836820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14721187712400

14721187712400 is an abundant number, since it is smaller than the sum of its proper divisors (40608697977939).

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

14721187712400 is an equidigital number, since it uses as much as digits as its factorization.

14721187712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The spelling of 14721187712400 in words is "fourteen trillion, seven hundred twenty-one billion, one hundred eighty-seven million, seven hundred twelve thousand, four hundred".