41958000 has 400 divisors, whose sum is σ = 177887424. Its totient is φ = 9331200.

The previous prime is 41957959. The next prime is 41958001. The reversal of 41958000 is 85914.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41958001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133982 + ... + 1134018.

Almost surely, 2^41958000 is an apocalyptic number.

41958000 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 41958000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88943712).

41958000 is an abundant number, since it is smaller than the sum of its proper divisors (135929424).

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

41958000 is a wasteful number, since it uses less digits than its factorization.

41958000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 41958000 is about 6477.4995175608. The cubic root of 41958000 is about 347.4867582898.

The spelling of 41958000 in words is "forty-one million, nine hundred fifty-eight thousand".