4430214242040 has 256 divisors, whose sum is σ = 13759812403200. Its totient is φ = 1139917478400.

The previous prime is 4430214242033. The next prime is 4430214242053. The reversal of 4430214242040 is 402424120344.

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

It is a junction number, because it is equal to n+sod(n) for n = 4430214241989 and 4430214242007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3431613795 + ... + 3431615085.

It is an arithmetic number, because the mean of its divisors is an integer number (53749267200).

Almost surely, 2^{4430214242040} is an apocalyptic number.

4430214242040 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 4430214242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879906201600).

4430214242040 is an abundant number, since it is smaller than the sum of its proper divisors (9329598161160).

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

4430214242040 is a wasteful number, since it uses less digits than its factorization.

4430214242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4430214242040 its reverse (402424120344), we get a palindrome (4832638362384).

The spelling of 4430214242040 in words is "four trillion, four hundred thirty billion, two hundred fourteen million, two hundred forty-two thousand, forty".