4604221440 has 960 divisors, whose sum is σ = 20644303680. Its totient is φ = 955514880.

The previous prime is 4604221439. The next prime is 4604221507. The reversal of 4604221440 is 441224064.

It is a happy number.

4604221440 is a `hidden beast` number, since 4 + 604 + 2 + 2 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75479010 + ... + 75479070.

It is an arithmetic number, because the mean of its divisors is an integer number (21504483).

Almost surely, 2^4604221440 is an apocalyptic number.

4604221440 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 4604221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322151840).

4604221440 is an abundant number, since it is smaller than the sum of its proper divisors (16040082240).

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

4604221440 is a wasteful number, since it uses less digits than its factorization.

4604221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4604221440 is about 67854.4135631574. The cubic root of 4604221440 is about 1663.6120890646.

The spelling of 4604221440 in words is "four billion, six hundred four million, two hundred twenty-one thousand, four hundred forty".