40044840040032 has 96 divisors (see below), whose sum is σ = 105733391228640. Its totient is φ = 13270190653440.

The previous prime is 40044840040027. The next prime is 40044840040141. The reversal of 40044840040032 is 23004004844004.

40044840040032 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 (96).

It is a super-2 number, since 2×40044840040032² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40044840039975 and 40044840040002.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 26862432 + ... + 28313952.

It is an arithmetic number, because the mean of its divisors is an integer number (1101389491965).

Almost surely, 2^{40044840040032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40044840040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52866695614320).

40044840040032 is an abundant number, since it is smaller than the sum of its proper divisors (65688551188608).

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

40044840040032 is a wasteful number, since it uses less digits than its factorization.

40044840040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453216 (or 1453208 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 40044840040032 its reverse (23004004844004), we get a palindrome (63048844884036).

The spelling of 40044840040032 in words is "forty trillion, forty-four billion, eight hundred forty million, forty thousand, thirty-two".