4604141606400 has 2160 divisors, whose sum is σ = 21058034293296. Its totient is φ = 989913415680.

The previous prime is 4604141606399. The next prime is 4604141606419. The reversal of 4604141606400 is 46061414064.

4604141606400 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 1 + 4 + 1 + 6 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2590962312 + ... + 2590964088.

Almost surely, 2^{4604141606400} is an apocalyptic number.

4604141606400 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 4604141606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529017146648).

4604141606400 is an abundant number, since it is smaller than the sum of its proper divisors (16453892686896).

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

4604141606400 is a wasteful number, since it uses less digits than its factorization.

4604141606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4604141606400 in words is "four trillion, six hundred four billion, one hundred forty-one million, six hundred six thousand, four hundred".