41993040 has 80 divisors (see below), whose sum is σ = 137044800. Its totient is φ = 10607616.

The previous prime is 41993033. The next prime is 41993041. The reversal of 41993040 is 4039914.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×41993040³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41992989 and 41993007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41993041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45 + ... + 9164.

It is an arithmetic number, because the mean of its divisors is an integer number (1713060).

Almost surely, 2^41993040 is an apocalyptic number.

41993040 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 41993040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68522400).

41993040 is an abundant number, since it is smaller than the sum of its proper divisors (95051760).

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

41993040 is a wasteful number, since it uses less digits than its factorization.

41993040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 41993040 is about 6480.2037005020. The cubic root of 41993040 is about 347.5834625188.

The spelling of 41993040 in words is "forty-one million, nine hundred ninety-three thousand, forty".