1440433214220 has 768 divisors, whose sum is σ = 5562503331840. Its totient is φ = 268810444800.

The previous prime is 1440433214203. The next prime is 1440433214263. The reversal of 1440433214220 is 224123340441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1386364461 + ... + 1386365499.

It is an arithmetic number, because the mean of its divisors is an integer number (7242842880).

Almost surely, 2^{1440433214220} is an apocalyptic number.

1440433214220 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 1440433214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781251665920).

1440433214220 is an abundant number, since it is smaller than the sum of its proper divisors (4122070117620).

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

1440433214220 is a wasteful number, since it uses less digits than its factorization.

1440433214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1440433214220 its reverse (224123340441), we get a palindrome (1664556554661).

The spelling of 1440433214220 in words is "one trillion, four hundred forty billion, four hundred thirty-three million, two hundred fourteen thousand, two hundred twenty".