40468512 has 96 divisors (see below), whose sum is σ = 123984000. Its totient is φ = 11553024.

The previous prime is 40468511. The next prime is 40468529. The reversal of 40468512 is 21586404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 40468512.

It is not an unprimeable number, because it can be changed into a prime (40468511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32314 + ... + 33542.

It is an arithmetic number, because the mean of its divisors is an integer number (1291500).

Almost surely, 2^40468512 is an apocalyptic number.

40468512 is a gapful number since it is divisible by the number (42) 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 40468512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61992000).

40468512 is an abundant number, since it is smaller than the sum of its proper divisors (83515488).

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

40468512 is a wasteful number, since it uses less digits than its factorization.

40468512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 40468512 is about 6361.4866187079. The cubic root of 40468512 is about 343.3252502784.

The spelling of 40468512 in words is "forty million, four hundred sixty-eight thousand, five hundred twelve".