41158242400 has 144 divisors (see below), whose sum is σ = 114378179328. Its totient is φ = 14315840000.

The previous prime is 41158242379. The next prime is 41158242407. The reversal of 41158242400 is 424285114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41158242407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100725 + ... + 304075.

It is an arithmetic number, because the mean of its divisors is an integer number (794292912).

Almost surely, 2^41158242400 is an apocalyptic number.

41158242400 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 41158242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57189089664).

41158242400 is an abundant number, since it is smaller than the sum of its proper divisors (73219936928).

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

41158242400 is a wasteful number, since it uses less digits than its factorization.

41158242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203405 (or 203392 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The spelling of 41158242400 in words is "forty-one billion, one hundred fifty-eight million, two hundred forty-two thousand, four hundred".