4109590587816 has 1024 divisors, whose sum is σ = 14370048000000. Its totient is φ = 1062233948160.

The previous prime is 4109590587803. The next prime is 4109590587841. The reversal of 4109590587816 is 6187850959014.

4109590587816 is a `hidden beast` number, since 41 + 0 + 9 + 5 + 9 + 0 + 587 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20651208885 + ... + 20651209083.

It is an arithmetic number, because the mean of its divisors is an integer number (14033250000).

Almost surely, 2^{4109590587816} 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 4109590587816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185024000000).

4109590587816 is an abundant number, since it is smaller than the sum of its proper divisors (10260457412184).

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

4109590587816 is a wasteful number, since it uses less digits than its factorization.

4109590587816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 4109590587816 in words is "four trillion, one hundred nine billion, five hundred ninety million, five hundred eighty-seven thousand, eight hundred sixteen".