1214411011440 has 480 divisors, whose sum is σ = 4213893085248. Its totient is φ = 289043251200.

The previous prime is 1214411011423. The next prime is 1214411011441. The reversal of 1214411011440 is 441101144121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1214411011440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214411011441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 510899532 + ... + 510901908.

Almost surely, 2^{1214411011440} is an apocalyptic number.

1214411011440 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 1214411011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106946542624).

1214411011440 is an abundant number, since it is smaller than the sum of its proper divisors (2999482073808).

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

1214411011440 is a wasteful number, since it uses less digits than its factorization.

1214411011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 1214411011440 its reverse (441101144121), we get a palindrome (1655512155561).

The spelling of 1214411011440 in words is "one trillion, two hundred fourteen billion, four hundred eleven million, eleven thousand, four hundred forty".