41225146200 has 288 divisors, whose sum is σ = 167534321760. Its totient is φ = 8868556800.

The previous prime is 41225146181. The next prime is 41225146213. The reversal of 41225146200 is 264152214.

41225146200 is a `hidden beast` number, since 4 + 1 + 2 + 25 + 14 + 620 + 0 = 666.

It is a super-2 number, since 2×41225146200² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 117970 + ... + 310430.

It is an arithmetic number, because the mean of its divisors is an integer number (581716395).

Almost surely, 2^41225146200 is an apocalyptic number.

41225146200 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 41225146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83767160880).

41225146200 is an abundant number, since it is smaller than the sum of its proper divisors (126309175560).

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

41225146200 is a wasteful number, since it uses less digits than its factorization.

41225146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192507 (or 192495 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41225146200 its reverse (264152214), we get a palindrome (41489298414).

The spelling of 41225146200 in words is "forty-one billion, two hundred twenty-five million, one hundred forty-six thousand, two hundred".