714329232400 has 135 divisors (see below), whose sum is σ = 1996698721239. Its totient is φ = 244872311040.

The previous prime is 714329232377. The next prime is 714329232443. The reversal of 714329232400 is 4232923417.

It is a happy number.

The square root of 714329232400 is 845180.

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

It can be written as a sum of positive squares in 4 ways, for example, as 145499525136 + 568829707264 = 381444^2 + 754208^2 .

It is a super-2 number, since 2×714329232400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 714329232400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 118322182 + ... + 118328218.

Almost surely, 2^714329232400 is an apocalyptic number.

714329232400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

714329232400 is the 845180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714329232400

714329232400 is an abundant number, since it is smaller than the sum of its proper divisors (1282369488839).

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

714329232400 is an frugal number, since it uses more digits than its factorization.

714329232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12106 (or 6051 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

It can be divided in two parts, 714329 and 232400, that added together give a square (946729 = 973²).

The spelling of 714329232400 in words is "seven hundred fourteen billion, three hundred twenty-nine million, two hundred thirty-two thousand, four hundred".