41409000 has 192 divisors, whose sum is σ = 144555840. Its totient is φ = 10684800.

The previous prime is 41408971. The next prime is 41409019. The reversal of 41409000 is 90414.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 386947 + ... + 387053.

It is an arithmetic number, because the mean of its divisors is an integer number (752895).

Almost surely, 2^41409000 is an apocalyptic number.

41409000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41409000 is the 3440-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72277920).

41409000 is an abundant number, since it is smaller than the sum of its proper divisors (103146840).

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

41409000 is a wasteful number, since it uses less digits than its factorization.

41409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41409000 is about 6434.9825174588. The cubic root of 41409000 is about 345.9645346611.

Adding to 41409000 its reverse (90414), we get a palindrome (41499414).

The spelling of 41409000 in words is "forty-one million, four hundred nine thousand".