4311220001440 has 96 divisors (see below), whose sum is σ = 11114943094080. Its totient is φ = 1567186790400.

The previous prime is 4311220001437. The next prime is 4311220001467. The reversal of 4311220001440 is 441000221134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4816716 + ... + 5641204.

It is an arithmetic number, because the mean of its divisors is an integer number (115780657230).

Almost surely, 2^{4311220001440} is an apocalyptic number.

4311220001440 is a gapful number since it is divisible by the number (40) 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 4311220001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557471547040).

4311220001440 is an abundant number, since it is smaller than the sum of its proper divisors (6803723092640).

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

4311220001440 is a wasteful number, since it uses less digits than its factorization.

4311220001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827486 (or 827478 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4311220001440 its reverse (441000221134), we get a palindrome (4752220222574).

The spelling of 4311220001440 in words is "four trillion, three hundred eleven billion, two hundred twenty million, one thousand, four hundred forty".