601030441200 has 480 divisors, whose sum is σ = 2246457217536. Its totient is φ = 134523924480.

The previous prime is 601030441181. The next prime is 601030441213. The reversal of 601030441200 is 2144030106.

601030441200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601030441200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97361314 + ... + 97367486.

Almost surely, 2^601030441200 is an apocalyptic number.

601030441200 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 601030441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123228608768).

601030441200 is an abundant number, since it is smaller than the sum of its proper divisors (1645426776336).

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

601030441200 is a wasteful number, since it uses less digits than its factorization.

601030441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 601030441200 its reverse (2144030106), we get a palindrome (603174471306).

The spelling of 601030441200 in words is "six hundred one billion, thirty million, four hundred forty-one thousand, two hundred".