4006580981760 has 2496 divisors, whose sum is σ = 17620091274240. Its totient is φ = 822167470080.

The previous prime is 4006580981713. The next prime is 4006580981771. The reversal of 4006580981760 is 671890856004.

4006580981760 is a `hidden beast` number, since 40 + 0 + 6 + 580 + 9 + 8 + 17 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4006580981697 and 4006580981706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45017763796 + ... + 45017763884.

It is an arithmetic number, because the mean of its divisors is an integer number (7059331440).

Almost surely, 2^{4006580981760} is an apocalyptic number.

4006580981760 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 4006580981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810045637120).

4006580981760 is an abundant number, since it is smaller than the sum of its proper divisors (13613510292480).

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

4006580981760 is a wasteful number, since it uses less digits than its factorization.

4006580981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 4006580981760 in words is "four trillion, six billion, five hundred eighty million, nine hundred eighty-one thousand, seven hundred sixty".