1143359718400 has 297 divisors, whose sum is σ = 2922890275263. Its totient is φ = 443451801600.

The previous prime is 1143359718271. The next prime is 1143359718421. The reversal of 1143359718400 is 48179533411.

The square root of 1143359718400 is 1069280.

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 481258537984 + 662101180416 = 693728^2 + 813696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7014476719 + ... + 7014476881.

Almost surely, 2^{1143359718400} is an apocalyptic number.

1143359718400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1143359718400 is the 1069280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143359718400

1143359718400 is an abundant number, since it is smaller than the sum of its proper divisors (1779530556863).

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

1143359718400 is an frugal number, since it uses more digits than its factorization.

1143359718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 1143359718400 in words is "one trillion, one hundred forty-three billion, three hundred fifty-nine million, seven hundred eighteen thousand, four hundred".