40166280 has 480 divisors, whose sum is σ = 178770240. Its totient is φ = 7983360.

The previous prime is 40166263. The next prime is 40166309. The reversal of 40166280 is 8266104.

It is a super-2 number, since 2×40166280² = 3226660098076800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1746349 + ... + 1746371.

It is an arithmetic number, because the mean of its divisors is an integer number (372438).

Almost surely, 2^40166280 is an apocalyptic number.

40166280 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 40166280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89385120).

40166280 is an abundant number, since it is smaller than the sum of its proper divisors (138603960).

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

40166280 is a wasteful number, since it uses less digits than its factorization.

40166280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40166280 is about 6337.6872753395. The cubic root of 40166280 is about 342.4684255263.

It can be divided in two parts, 4016 and 6280, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 40166280 in words is "forty million, one hundred sixty-six thousand, two hundred eighty".