41964000 has 192 divisors, whose sum is σ = 148599360. Its totient is φ = 10291200.

The previous prime is 41963993. The next prime is 41964023. The reversal of 41964000 is 46914.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155866 + ... + 156134.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^41964000 is an apocalyptic number.

41964000 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 41964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

41964000 is an abundant number, since it is smaller than the sum of its proper divisors (106635360).

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

41964000 is a wasteful number, since it uses less digits than its factorization.

41964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 41964000 is about 6477.9626426833. The cubic root of 41964000 is about 347.5033210524.

The spelling of 41964000 in words is "forty-one million, nine hundred sixty-four thousand".