40168000 has 56 divisors (see below), whose sum is σ = 99495864. Its totient is φ = 16064000.

The previous prime is 40167983. The next prime is 40168039. The reversal of 40168000 is 86104.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 40144896 = 152^2 + 6336^2 .

It is a super-2 number, since 2×40168000² = 3226936448000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5490 + ... + 10510.

Almost surely, 2^40168000 is an apocalyptic number.

40168000 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 40168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49747932).

40168000 is an abundant number, since it is smaller than the sum of its proper divisors (59327864).

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

40168000 is an equidigital number, since it uses as much as digits as its factorization.

40168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 40168000 is about 6337.8229700742. The cubic root of 40168000 is about 342.4733138495.

The spelling of 40168000 in words is "forty million, one hundred sixty-eight thousand".