4414105531520 has 128 divisors (see below), whose sum is σ = 11176232567040. Its totient is φ = 1661330571264.

The previous prime is 4414105531513. The next prime is 4414105531579. The reversal of 4414105531520 is 251355014144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 41541179 + ... + 41647301.

It is an arithmetic number, because the mean of its divisors is an integer number (87314316930).

Almost surely, 2^{4414105531520} is an apocalyptic number.

4414105531520 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 4414105531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588116283520).

4414105531520 is an abundant number, since it is smaller than the sum of its proper divisors (6762127035520).

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

4414105531520 is a wasteful number, since it uses less digits than its factorization.

4414105531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109982 (or 109970 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 4414105531520 in words is "four trillion, four hundred fourteen billion, one hundred five million, five hundred thirty-one thousand, five hundred twenty".