40415968 has 48 divisors (see below), whose sum is σ = 84097440. Its totient is φ = 19081216.

The previous prime is 40415957. The next prime is 40416007. The reversal of 40415968 is 86951404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 65196 + ... + 65812.

It is an arithmetic number, because the mean of its divisors is an integer number (1752030).

Almost surely, 2^40415968 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 40415968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42048720).

40415968 is an abundant number, since it is smaller than the sum of its proper divisors (43681472).

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

40415968 is a wasteful number, since it uses less digits than its factorization.

40415968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 40415968 is about 6357.3554250175. The cubic root of 40415968 is about 343.1765956477.

The spelling of 40415968 in words is "forty million, four hundred fifteen thousand, nine hundred sixty-eight".