40419072 has 108 divisors (see below), whose sum is σ = 119095704. Its totient is φ = 13178880.

The previous prime is 40419037. The next prime is 40419077. The reversal of 40419072 is 27091404.

It is a happy number.

40419072 is a `hidden beast` number, since 404 + 190 + 72 = 666.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40419077) 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 11 ways as a sum of consecutive naturals, for example, 121947 + ... + 122277.

It is an arithmetic number, because the mean of its divisors is an integer number (1102738).

Almost surely, 2^40419072 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 40419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59547852).

40419072 is an abundant number, since it is smaller than the sum of its proper divisors (78676632).

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

40419072 is a wasteful number, since it uses less digits than its factorization.

40419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 40419072 is about 6357.5995469989. The cubic root of 40419072 is about 343.1853808955.

The spelling of 40419072 in words is "forty million, four hundred nineteen thousand, seventy-two".