40041616640 has 72 divisors (see below), whose sum is σ = 96667791360. Its totient is φ = 15890466816.

The previous prime is 40041616639. The next prime is 40041616663. The reversal of 40041616640 is 4661614004.

It is a super-3 number, since 3×40041616640³ (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 junction number, because it is equal to n+sod(n) for n = 40041616597 and 40041616606.

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 7 ways as a sum of consecutive naturals, for example, 39401 + ... + 285719.

Almost surely, 2^40041616640 is an apocalyptic number.

40041616640 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 40041616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48333895680).

40041616640 is an abundant number, since it is smaller than the sum of its proper divisors (56626174720).

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

40041616640 is a wasteful number, since it uses less digits than its factorization.

40041616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246467 (or 246453 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 40041616640 in words is "forty billion, forty-one million, six hundred sixteen thousand, six hundred forty".