4415168615144 has 128 divisors (see below), whose sum is σ = 9711626284800. Its totient is φ = 1842802790400.

The previous prime is 4415168615129. The next prime is 4415168615153.

4415168615144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4415168615144² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4415168615092 and 4415168615101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268668752 + ... + 268685184.

It is an arithmetic number, because the mean of its divisors is an integer number (75872080350).

Almost surely, 2^{4415168615144} 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 4415168615144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855813142400).

4415168615144 is an abundant number, since it is smaller than the sum of its proper divisors (5296457669656).

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

4415168615144 is a wasteful number, since it uses less digits than its factorization.

4415168615144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17323 (or 17319 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 50.

The spelling of 4415168615144 in words is "four trillion, four hundred fifteen billion, one hundred sixty-eight million, six hundred fifteen thousand, one hundred forty-four".