40807368 has 128 divisors (see below), whose sum is σ = 131155200. Its totient is φ = 11515392.

The previous prime is 40807367. The next prime is 40807373. The reversal of 40807368 is 86370804.

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

It is not an unprimeable number, because it can be changed into a prime (40807367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207046 + ... + 207242.

It is an arithmetic number, because the mean of its divisors is an integer number (1024650).

Almost surely, 2^40807368 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 40807368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65577600).

40807368 is an abundant number, since it is smaller than the sum of its proper divisors (90347832).

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

40807368 is a wasteful number, since it uses less digits than its factorization.

40807368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40807368 is about 6388.0644956043. The cubic root of 40807368 is about 344.2808460074.

The spelling of 40807368 in words is "forty million, eight hundred seven thousand, three hundred sixty-eight".