601141162003200 has 5184 divisors, whose sum is σ = 2871965947748352. Its totient is φ = 120996849254400.

The previous prime is 601141162003199. The next prime is 601141162003241. The reversal of 601141162003200 is 2300261141106.

It is a happy number.

601141162003200 is a `hidden beast` number, since 6 + 0 + 1 + 1 + 4 + 1 + 1 + 620 + 0 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×601141162003200² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 320267000662 + ... + 320267002538.

Almost surely, 2^{601141162003200} is an apocalyptic number.

601141162003200 is a gapful number since it is divisible by the number (60) 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 601141162003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435982973874176).

601141162003200 is an abundant number, since it is smaller than the sum of its proper divisors (2270824785745152).

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

601141162003200 is a wasteful number, since it uses less digits than its factorization.

601141162003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 601141162003200 in words is "six hundred one trillion, one hundred forty-one billion, one hundred sixty-two million, three thousand, two hundred".