4604198721120 has 768 divisors, whose sum is σ = 17275831372800. Its totient is φ = 1156153595904.

The previous prime is 4604198721107. The next prime is 4604198721151. The reversal of 4604198721120 is 211278914064.

4604198721120 is a `hidden beast` number, since 4 + 604 + 1 + 9 + 8 + 7 + 2 + 11 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1150185039 + ... + 1150189041.

It is an arithmetic number, because the mean of its divisors is an integer number (22494572100).

Almost surely, 2^{4604198721120} is an apocalyptic number.

4604198721120 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 4604198721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637915686400).

4604198721120 is an abundant number, since it is smaller than the sum of its proper divisors (12671632651680).

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

4604198721120 is a wasteful number, since it uses less digits than its factorization.

4604198721120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 4604198721120 in words is "four trillion, six hundred four billion, one hundred ninety-eight million, seven hundred twenty-one thousand, one hundred twenty".