41301200304 has 480 divisors, whose sum is σ = 147774541824. Its totient is φ = 10474997760.

The previous prime is 41301200299. The next prime is 41301200323. The reversal of 41301200304 is 40300210314.

41301200304 is a `hidden beast` number, since 41 + 301 + 20 + 0 + 304 = 666.

It is a super-2 number, since 2×41301200304² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119023459 + ... + 119023805.

Almost surely, 2^41301200304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41301200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73887270912).

41301200304 is an abundant number, since it is smaller than the sum of its proper divisors (106473341520).

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

41301200304 is a wasteful number, since it uses less digits than its factorization.

41301200304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 41301200304 its reverse (40300210314), we get a palindrome (81601410618).

The spelling of 41301200304 in words is "forty-one billion, three hundred one million, two hundred thousand, three hundred four".