41864040 has 192 divisors, whose sum is σ = 145454400. Its totient is φ = 10824192.

The previous prime is 41864003. The next prime is 41864051. The reversal of 41864040 is 4046814.

41864040 is a `hidden beast` number, since 4 + 18 + 640 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 41863995 and 41864013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573444 + ... + 573516.

It is an arithmetic number, because the mean of its divisors is an integer number (757575).

Almost surely, 2^41864040 is an apocalyptic number.

41864040 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 41864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72727200).

41864040 is an abundant number, since it is smaller than the sum of its proper divisors (103590360).

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

41864040 is a wasteful number, since it uses less digits than its factorization.

41864040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 41864040 is about 6470.2426538732. The cubic root of 41864040 is about 347.2271792027.

The spelling of 41864040 in words is "forty-one million, eight hundred sixty-four thousand, forty".