40368960 has 168 divisors, whose sum is σ = 141219936. Its totient is φ = 10583040.

The previous prime is 40368953. The next prime is 40368983. The reversal of 40368960 is 6986304.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308095 + ... + 308225.

Almost surely, 2^40368960 is an apocalyptic number.

40368960 is a gapful number since it is divisible by the number (40) 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 40368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70609968).

40368960 is an abundant number, since it is smaller than the sum of its proper divisors (100850976).

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

40368960 is a wasteful number, since it uses less digits than its factorization.

40368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40368960 is about 6353.6572145497. The cubic root of 40368960 is about 343.0434939335.

It can be divided in two parts, 40368 and 960, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 40368960 in words is "forty million, three hundred sixty-eight thousand, nine hundred sixty".