40065580800 has 1080 divisors, whose sum is σ = 173029848992. Its totient is φ = 8957952000.

The previous prime is 40065580769. The next prime is 40065580811. The reversal of 40065580800 is 808556004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 221356710 + ... + 221356890.

Almost surely, 2^40065580800 is an apocalyptic number.

40065580800 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 40065580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86514924496).

40065580800 is an abundant number, since it is smaller than the sum of its proper divisors (132964268192).

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

40065580800 is a wasteful number, since it uses less digits than its factorization.

40065580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 40065580800 in words is "forty billion, sixty-five million, five hundred eighty thousand, eight hundred".