41355135200 has 144 divisors (see below), whose sum is σ = 102326888160. Its totient is φ = 16318955520.

The previous prime is 41355135181. The next prime is 41355135223. The reversal of 41355135200 is 253155314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31737749 + ... + 31739051.

It is an arithmetic number, because the mean of its divisors is an integer number (710603390).

Almost surely, 2^41355135200 is an apocalyptic number.

41355135200 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 41355135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51163444080).

41355135200 is an abundant number, since it is smaller than the sum of its proper divisors (60971752960).

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

41355135200 is a wasteful number, since it uses less digits than its factorization.

41355135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The spelling of 41355135200 in words is "forty-one billion, three hundred fifty-five million, one hundred thirty-five thousand, two hundred".