41955553800 has 336 divisors, whose sum is σ = 148057867440. Its totient is φ = 11050162560.

The previous prime is 41955553747. The next prime is 41955553847. The reversal of 41955553800 is 835555914.

41955553800 is a `hidden beast` number, since 4 + 1 + 95 + 5 + 553 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12099667 + ... + 12103133.

It is an arithmetic number, because the mean of its divisors is an integer number (440648415).

Almost surely, 2^41955553800 is an apocalyptic number.

41955553800 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 41955553800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74028933720).

41955553800 is an abundant number, since it is smaller than the sum of its proper divisors (106102313640).

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

41955553800 is a wasteful number, since it uses less digits than its factorization.

41955553800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 41955553800 in words is "forty-one billion, nine hundred fifty-five million, five hundred fifty-three thousand, eight hundred".