40414900 has 72 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 15079680.

The previous prime is 40414897. The next prime is 40414903. The reversal of 40414900 is 941404.

It is a happy number.

40414900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40414897) and next prime (40414903).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40414903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168981 + ... + 169219.

It is an arithmetic number, because the mean of its divisors is an integer number (1302000).

Almost surely, 2^40414900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40414900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

40414900 is an abundant number, since it is smaller than the sum of its proper divisors (53329100).

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

40414900 is a wasteful number, since it uses less digits than its factorization.

40414900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 40414900 is about 6357.2714272713. The cubic root of 40414900 is about 343.1735727845.

It can be divided in two parts, 40414 and 900, that added together give a palindrome (41314).

The spelling of 40414900 in words is "forty million, four hundred fourteen thousand, nine hundred".