4416545120 has 96 divisors (see below), whose sum is σ = 11449009152. Its totient is φ = 1599916032.

The previous prime is 4416545101. The next prime is 4416545153. The reversal of 4416545120 is 215456144.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 90209 + ... + 130271.

It is an arithmetic number, because the mean of its divisors is an integer number (119260512).

Almost surely, 2^4416545120 is an apocalyptic number.

4416545120 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 4416545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724504576).

4416545120 is an abundant number, since it is smaller than the sum of its proper divisors (7032464032).

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

4416545120 is a wasteful number, since it uses less digits than its factorization.

4416545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40144 (or 40136 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 4416545120 is about 66457.0923227913. The cubic root of 4416545120 is about 1640.6938765194.

The spelling of 4416545120 in words is "four billion, four hundred sixteen million, five hundred forty-five thousand, one hundred twenty".