40766000 has 160 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 13824000.

The previous prime is 40765987. The next prime is 40766027. The reversal of 40766000 is 66704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373946 + ... + 374054.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^40766000 is an apocalyptic number.

40766000 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 40766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

40766000 is an abundant number, since it is smaller than the sum of its proper divisors (74137360).

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

40766000 is a wasteful number, since it uses less digits than its factorization.

40766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 40766000 is about 6384.8257611308. The cubic root of 40766000 is about 344.1644697574.

The spelling of 40766000 in words is "forty million, seven hundred sixty-six thousand".