40513368 has 64 divisors (see below), whose sum is σ = 116352000. Its totient is φ = 11515392.

The previous prime is 40513349. The next prime is 40513387. The reversal of 40513368 is 86331504.

40513368 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 (40513349) and next prime (40513387).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39648 + ... + 40656.

It is an arithmetic number, because the mean of its divisors is an integer number (1818000).

Almost surely, 2^40513368 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 40513368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58176000).

40513368 is an abundant number, since it is smaller than the sum of its proper divisors (75838632).

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

40513368 is a wasteful number, since it uses less digits than its factorization.

40513368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 40513368 is about 6365.0112332972. The cubic root of 40513368 is about 343.4520526590.

The spelling of 40513368 in words is "forty million, five hundred thirteen thousand, three hundred sixty-eight".