4430020111440 has 640 divisors, whose sum is σ = 18223082790912. Its totient is φ = 861874421760.

The previous prime is 4430020111417. The next prime is 4430020111459. The reversal of 4430020111440 is 441110200344.

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 4430020111440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60596349 + ... + 60669411.

Almost surely, 2^{4430020111440} is an apocalyptic number.

4430020111440 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 4430020111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9111541395456).

4430020111440 is an abundant number, since it is smaller than the sum of its proper divisors (13793062679472).

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

4430020111440 is a wasteful number, since it uses less digits than its factorization.

4430020111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73307 (or 73301 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4430020111440 its reverse (441110200344), we get a palindrome (4871130311784).

The spelling of 4430020111440 in words is "four trillion, four hundred thirty billion, twenty million, one hundred eleven thousand, four hundred forty".