40166506240 has 288 divisors, whose sum is σ = 112770717696. Its totient is φ = 13423656960.

The previous prime is 40166506153. The next prime is 40166506273. The reversal of 40166506240 is 4260566104.

It is a super-2 number, since 2×40166506240² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40166506196 and 40166506205.

It is a congruent number.

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, 65524174 + ... + 65524786.

It is an arithmetic number, because the mean of its divisors is an integer number (391564992).

Almost surely, 2^40166506240 is an apocalyptic number.

40166506240 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 40166506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56385358848).

40166506240 is an abundant number, since it is smaller than the sum of its proper divisors (72604211456).

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

40166506240 is a wasteful number, since it uses less digits than its factorization.

40166506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 40166506240 in words is "forty billion, one hundred sixty-six million, five hundred six thousand, two hundred forty".