41284040 has 64 divisors (see below), whose sum is σ = 106738560. Its totient is φ = 14077440.

The previous prime is 41284031. The next prime is 41284043. The reversal of 41284040 is 4048214.

It is a junction number, because it is equal to n+sod(n) for n = 41283997 and 41284015.

It is not an unprimeable number, because it can be changed into a prime (41284043) 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, 78980 + ... + 79500.

It is an arithmetic number, because the mean of its divisors is an integer number (1667790).

Almost surely, 2^41284040 is an apocalyptic number.

41284040 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 41284040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53369280).

41284040 is an abundant number, since it is smaller than the sum of its proper divisors (65454520).

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

41284040 is a wasteful number, since it uses less digits than its factorization.

41284040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 41284040 is about 6425.2657532588. The cubic root of 41284040 is about 345.6161781193.

The spelling of 41284040 in words is "forty-one million, two hundred eighty-four thousand, forty".