1211414331440 has 20 divisors (see below), whose sum is σ = 2816538320784. Its totient is φ = 484565732544.

The previous prime is 1211414331389. The next prime is 1211414331461. The reversal of 1211414331440 is 441334141121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×1211414331440³ (a number of 37 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 7571339492 + ... + 7571339651.

Almost surely, 2^{1211414331440} is an apocalyptic number.

1211414331440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211414331440 is an abundant number, since it is smaller than the sum of its proper divisors (1605123989344).

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

1211414331440 is a wasteful number, since it uses less digits than its factorization.

1211414331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15142679156 (or 15142679150 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 1211414331440 its reverse (441334141121), we get a palindrome (1652748472561).

The spelling of 1211414331440 in words is "one trillion, two hundred eleven billion, four hundred fourteen million, three hundred thirty-one thousand, four hundred forty".