1214432112440 has 128 divisors (see below), whose sum is σ = 2784233088000. Its totient is φ = 476642396160.

The previous prime is 1214432112433. The next prime is 1214432112527. The reversal of 1214432112440 is 442112344121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868070861 + ... + 868072259.

It is an arithmetic number, because the mean of its divisors is an integer number (21751821000).

Almost surely, 2^{1214432112440} is an apocalyptic number.

1214432112440 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 1214432112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392116544000).

1214432112440 is an abundant number, since it is smaller than the sum of its proper divisors (1569800975560).

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

1214432112440 is a wasteful number, since it uses less digits than its factorization.

1214432112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 1214432112440 its reverse (442112344121), we get a palindrome (1656544456561).

The spelling of 1214432112440 in words is "one trillion, two hundred fourteen billion, four hundred thirty-two million, one hundred twelve thousand, four hundred forty".