1141414456900 has 81 divisors (see below), whose sum is σ = 2614557026781. Its totient is φ = 432459082080.

The previous prime is 1141414456747. The next prime is 1141414456927. The reversal of 1141414456900 is 96544141411.

The square root of 1141414456900 is 1068370.

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

It can be written as a sum of positive squares in only one way, i.e., 410909204484 + 730505252416 = 641022^2 + 854696^2 .

It is a super-2 number, since 2×1141414456900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 202987489 + ... + 202993111.

Almost surely, 2^{1141414456900} is an apocalyptic number.

1141414456900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1141414456900 is the 1068370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141414456900

1141414456900 is an abundant number, since it is smaller than the sum of its proper divisors (1473142569881).

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

1141414456900 is an frugal number, since it uses more digits than its factorization.

1141414456900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 1141414456900 in words is "one trillion, one hundred forty-one billion, four hundred fourteen million, four hundred fifty-six thousand, nine hundred".