40566445920 has 1920 divisors, whose sum is σ = 199168865280. Its totient is φ = 7504773120.

The previous prime is 40566445877. The next prime is 40566445921. The reversal of 40566445920 is 2954466504.

40566445920 is a `hidden beast` number, since 4 + 0 + 56 + 6 + 4 + 4 + 592 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40566445921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 687566851 + ... + 687566909.

It is an arithmetic number, because the mean of its divisors is an integer number (103733784).

Almost surely, 2^40566445920 is an apocalyptic number.

40566445920 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 40566445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99584432640).

40566445920 is an abundant number, since it is smaller than the sum of its proper divisors (158602419360).

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

40566445920 is a wasteful number, since it uses less digits than its factorization.

40566445920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

It can be divided in two parts, 405664 and 45920, that added together give a square (451584 = 672²).

The spelling of 40566445920 in words is "forty billion, five hundred sixty-six million, four hundred forty-five thousand, nine hundred twenty".