41984040 has 128 divisors (see below), whose sum is σ = 145336320. Its totient is φ = 9504000.

The previous prime is 41984029. The next prime is 41984051. The reversal of 41984040 is 4048914.

It is an interprime number because it is at equal distance from previous prime (41984029) and next prime (41984051).

It is a super-2 number, since 2×41984040² = 3525319229443200, which contains 22 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 = 41983989 and 41984007.

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, 126675 + ... + 127005.

It is an arithmetic number, because the mean of its divisors is an integer number (1135440).

Almost surely, 2^41984040 is an apocalyptic number.

41984040 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 41984040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72668160).

41984040 is an abundant number, since it is smaller than the sum of its proper divisors (103352280).

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

41984040 is a wasteful number, since it uses less digits than its factorization.

41984040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 41984040 is about 6479.5092406756. The cubic root of 41984040 is about 347.5586292395.

The spelling of 41984040 in words is "forty-one million, nine hundred eighty-four thousand, forty".