4590218880 has 384 divisors, whose sum is σ = 17375904000. Its totient is φ = 1109680128.

The previous prime is 4590218869. The next prime is 4590218917. The reversal of 4590218880 is 888120954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4417401 + ... + 4418439.

It is an arithmetic number, because the mean of its divisors is an integer number (45249750).

Almost surely, 2^4590218880 is an apocalyptic number.

4590218880 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 4590218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687952000).

4590218880 is an abundant number, since it is smaller than the sum of its proper divisors (12785685120).

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

4590218880 is a wasteful number, since it uses less digits than its factorization.

4590218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 4590218880 is about 67751.1540861113. The cubic root of 4590218880 is about 1661.9238931729.

The spelling of 4590218880 in words is "four billion, five hundred ninety million, two hundred eighteen thousand, eight hundred eighty".