4040721216000 has 960 divisors, whose sum is σ = 17039432906496. Its totient is φ = 901029888000.

The previous prime is 4040721215969. The next prime is 4040721216067. The reversal of 4040721216000 is 6121270404.

4040721216000 is a `hidden beast` number, since 4 + 0 + 40 + 7 + 2 + 12 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 165299779 + ... + 165324221.

Almost surely, 2^{4040721216000} is an apocalyptic number.

4040721216000 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 4040721216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519716453248).

4040721216000 is an abundant number, since it is smaller than the sum of its proper divisors (12998711690496).

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

4040721216000 is a wasteful number, since it uses less digits than its factorization.

4040721216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24530 (or 24501 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 4040721216000 its reverse (6121270404), we get a palindrome (4046842486404).

The spelling of 4040721216000 in words is "four trillion, forty billion, seven hundred twenty-one million, two hundred sixteen thousand".