40440005984160 has 288 divisors, whose sum is σ = 140353779646080. Its totient is φ = 10600221026304.

The previous prime is 40440005984143. The next prime is 40440005984171. The reversal of 40440005984160 is 6148950004404.

40440005984160 is a `hidden beast` number, since 4 + 0 + 4 + 40 + 0 + 0 + 598 + 4 + 16 + 0 = 666.

40440005984160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40440005984160² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1452207357 + ... + 1452235203.

It is an arithmetic number, because the mean of its divisors is an integer number (487339512660).

Almost surely, 2^{40440005984160} is an apocalyptic number.

40440005984160 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 40440005984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70176889823040).

40440005984160 is an abundant number, since it is smaller than the sum of its proper divisors (99913773661920).

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

40440005984160 is a wasteful number, since it uses less digits than its factorization.

40440005984160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45020 (or 45009 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 40440005984160 its reverse (6148950004404), we get a palindrome (46588955988564).

The spelling of 40440005984160 in words is "forty trillion, four hundred forty billion, five million, nine hundred eighty-four thousand, one hundred sixty".