41122368 has 252 divisors, whose sum is σ = 144548352. Its totient is φ = 11128320.

The previous prime is 41122363. The next prime is 41122369. The reversal of 41122368 is 86322114.

It is a tau number, because it is divible by the number of its divisors (252).

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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41122363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874921 + ... + 874967.

Almost surely, 2^41122368 is an apocalyptic number.

41122368 is a gapful number since it is divisible by the number (48) 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 41122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72274176).

41122368 is an abundant number, since it is smaller than the sum of its proper divisors (103425984).

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

41122368 is a wasteful number, since it uses less digits than its factorization.

41122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 41122368 is about 6412.6724538214. The cubic root of 41122368 is about 345.1644332729.

The spelling of 41122368 in words is "forty-one million, one hundred twenty-two thousand, three hundred sixty-eight".