1211513413440 has 448 divisors, whose sum is σ = 4237467125760. Its totient is φ = 290829557760.

The previous prime is 1211513413427. The next prime is 1211513413441. The reversal of 1211513413440 is 443143151121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1211513413398 and 1211513413407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211513413441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 497131902 + ... + 497134338.

Almost surely, 2^{1211513413440} is an apocalyptic number.

1211513413440 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 1211513413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118733562880).

1211513413440 is an abundant number, since it is smaller than the sum of its proper divisors (3025953712320).

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

1211513413440 is a wasteful number, since it uses less digits than its factorization.

1211513413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1211513413440 its reverse (443143151121), we get a palindrome (1654656564561).

The spelling of 1211513413440 in words is "one trillion, two hundred eleven billion, five hundred thirteen million, four hundred thirteen thousand, four hundred forty".