40645306800 has 540 divisors, whose sum is σ = 171271434256. Its totient is φ = 8742297600.

The previous prime is 40645306789. The next prime is 40645306813. The reversal of 40645306800 is 860354604.

40645306800 is a `hidden beast` number, since 4 + 0 + 64 + 530 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×40645306800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7280010 + ... + 7285590.

Almost surely, 2^40645306800 is an apocalyptic number.

40645306800 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 40645306800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85635717128).

40645306800 is an abundant number, since it is smaller than the sum of its proper divisors (130626127456).

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

40645306800 is a wasteful number, since it uses less digits than its factorization.

40645306800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40645306800 in words is "forty billion, six hundred forty-five million, three hundred six thousand, eight hundred".