40240424240016 has 640 divisors, whose sum is σ = 146994325094400. Its totient is φ = 9135715092480.

The previous prime is 40240424239979. The next prime is 40240424240057. The reversal of 40240424240016 is 61004242404204.

It is a happy number.

40240424240016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 127 ways as a sum of consecutive naturals, for example, 2044000125 + ... + 2044019811.

It is an arithmetic number, because the mean of its divisors is an integer number (229678632960).

Almost surely, 2^{40240424240016} 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 40240424240016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73497162547200).

40240424240016 is an abundant number, since it is smaller than the sum of its proper divisors (106753900854384).

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

40240424240016 is a wasteful number, since it uses less digits than its factorization.

40240424240016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21987 (or 21981 counting only the distinct ones).

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

The spelling of 40240424240016 in words is "forty trillion, two hundred forty billion, four hundred twenty-four million, two hundred forty thousand, sixteen".