4080691008000 has 640 divisors, whose sum is σ = 15098761117440. Its totient is φ = 1086452121600.

The previous prime is 4080691007971. The next prime is 4080691008013. The reversal of 4080691008000 is 8001960804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1377214519 + ... + 1377217481.

It is an arithmetic number, because the mean of its divisors is an integer number (23591814246).

Almost surely, 2^{4080691008000} is an apocalyptic number.

4080691008000 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 4080691008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549380558720).

4080691008000 is an abundant number, since it is smaller than the sum of its proper divisors (11018070109440).

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

4080691008000 is an equidigital number, since it uses as much as digits as its factorization.

4080691008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 4080691008000 its reverse (8001960804), we get a palindrome (4088692968804).

The spelling of 4080691008000 in words is "four trillion, eighty billion, six hundred ninety-one million, eight thousand".