41445604200 has 768 divisors, whose sum is σ = 174028861440. Its totient is φ = 7879680000.

The previous prime is 41445604129. The next prime is 41445604241. The reversal of 41445604200 is 240654414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 191 ways as a sum of consecutive naturals, for example, 90690372 + ... + 90690828.

It is an arithmetic number, because the mean of its divisors is an integer number (226600080).

Almost surely, 2^41445604200 is an apocalyptic number.

41445604200 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 41445604200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87014430720).

41445604200 is an abundant number, since it is smaller than the sum of its proper divisors (132583257240).

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

41445604200 is a wasteful number, since it uses less digits than its factorization.

41445604200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 41445604200 in words is "forty-one billion, four hundred forty-five million, six hundred four thousand, two hundred".