40566240000 has 1080 divisors, whose sum is σ = 172579719312. Its totient is φ = 9031680000.

The previous prime is 40566239993. The next prime is 40566240007. The reversal of 40566240000 is 4266504.

It is a happy number.

40566240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40566239993) and next prime (40566240007).

It is not an unprimeable number, because it can be changed into a prime (40566240007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 205919902 + ... + 205920098.

Almost surely, 2^40566240000 is an apocalyptic number.

40566240000 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 40566240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86289859656).

40566240000 is an abundant number, since it is smaller than the sum of its proper divisors (132013479312).

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

40566240000 is a wasteful number, since it uses less digits than its factorization.

40566240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 40566240000 in words is "forty billion, five hundred sixty-six million, two hundred forty thousand".