40186368 has 240 divisors, whose sum is σ = 134053920. Its totient is φ = 11943936.

The previous prime is 40186361. The next prime is 40186397. The reversal of 40186368 is 86368104.

It is a happy number.

40186368 is a `hidden beast` number, since 4 + 0 + 18 + 636 + 8 = 666.

It is a super-2 number, since 2×40186368² = 3229888346062848, which contains 22 as substring.

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 (40186361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2115063 + ... + 2115081.

It is an arithmetic number, because the mean of its divisors is an integer number (558558).

Almost surely, 2^40186368 is an apocalyptic number.

40186368 is a gapful number since it is divisible by the number (48) 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 40186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

40186368 is an abundant number, since it is smaller than the sum of its proper divisors (93867552).

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

40186368 is an equidigital number, since it uses as much as digits as its factorization.

40186368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40186368 is about 6339.2718824799. The cubic root of 40186368 is about 342.5255078948.

The spelling of 40186368 in words is "forty million, one hundred eighty-six thousand, three hundred sixty-eight".