40414000 has 120 divisors (see below), whose sum is σ = 108055584. Its totient is φ = 14608000.

The previous prime is 40413979. The next prime is 40414009. The reversal of 40414000 is 41404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40414009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241917 + ... + 242083.

Almost surely, 2^40414000 is an apocalyptic number.

40414000 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 40414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027792).

40414000 is an abundant number, since it is smaller than the sum of its proper divisors (67641584).

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

40414000 is a wasteful number, since it uses less digits than its factorization.

40414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 40414000 is about 6357.2006417920. The cubic root of 40414000 is about 343.1710253865.

Adding to 40414000 its reverse (41404), we get a palindrome (40455404).

The spelling of 40414000 in words is "forty million, four hundred fourteen thousand".