40065444320 has 192 divisors, whose sum is σ = 108010506240. Its totient is φ = 13928358400.

The previous prime is 40065444299. The next prime is 40065444323. The reversal of 40065444320 is 2344456004.

It is a super-3 number, since 3×40065444320³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40065444323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21412985 + ... + 21414855.

It is an arithmetic number, because the mean of its divisors is an integer number (562554720).

Almost surely, 2^40065444320 is an apocalyptic number.

40065444320 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 40065444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54005253120).

40065444320 is an abundant number, since it is smaller than the sum of its proper divisors (67945061920).

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

40065444320 is a wasteful number, since it uses less digits than its factorization.

40065444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The spelling of 40065444320 in words is "forty billion, sixty-five million, four hundred forty-four thousand, three hundred twenty".