1211441141440 has 112 divisors (see below), whose sum is σ = 2914399088640. Its totient is φ = 479600409600.

The previous prime is 1211441141419. The next prime is 1211441141459. The reversal of 1211441141440 is 441411441121.

It is a super-3 number, since 3×1211441141440³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1211441141399 and 1211441141408.

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 15 ways as a sum of consecutive naturals, for example, 64295541 + ... + 64314379.

Almost surely, 2^{1211441141440} is an apocalyptic number.

1211441141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211441141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457199544320).

1211441141440 is an abundant number, since it is smaller than the sum of its proper divisors (1702957947200).

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

1211441141440 is a wasteful number, since it uses less digits than its factorization.

1211441141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20910 (or 20900 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 1211441141440 its reverse (441411441121), we get a palindrome (1652852582561).

The spelling of 1211441141440 in words is "one trillion, two hundred eleven billion, four hundred forty-one million, one hundred forty-one thousand, four hundred forty".