40041000 has 128 divisors (see below), whose sum is σ = 138902400. Its totient is φ = 10670400.

The previous prime is 40040981. The next prime is 40041007. The reversal of 40041000 is 14004.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (40041007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26259 + ... + 27741.

It is an arithmetic number, because the mean of its divisors is an integer number (1085175).

Almost surely, 2^40041000 is an apocalyptic number.

40041000 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 40041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69451200).

40041000 is an abundant number, since it is smaller than the sum of its proper divisors (98861400).

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

40041000 is a wasteful number, since it uses less digits than its factorization.

40041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 40041000 is about 6327.7958247718. The cubic root of 40041000 is about 342.1119977912. Note that the first 3 decimals are identical.

Adding to 40041000 its reverse (14004), we get a palindrome (40055004).

The spelling of 40041000 in words is "forty million, forty-one thousand".