4411044431220 has 384 divisors, whose sum is σ = 14707430599680. Its totient is φ = 966810746880.

The previous prime is 4411044431197. The next prime is 4411044431267. The reversal of 4411044431220 is 221344401144.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 438424990 + ... + 438435050.

It is an arithmetic number, because the mean of its divisors is an integer number (38300600520).

Almost surely, 2^{4411044431220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4411044431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353715299840).

4411044431220 is an abundant number, since it is smaller than the sum of its proper divisors (10296386168460).

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

4411044431220 is a wasteful number, since it uses less digits than its factorization.

4411044431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10523 (or 10521 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4411044431220 its reverse (221344401144), we get a palindrome (4632388832364).

The spelling of 4411044431220 in words is "four trillion, four hundred eleven billion, forty-four million, four hundred thirty-one thousand, two hundred twenty".