4109669498880 has 2128 divisors, whose sum is σ = 17824013172864. Its totient is φ = 896909967360.

The previous prime is 4109669498867. The next prime is 4109669498887. The reversal of 4109669498880 is 888949669014.

4109669498880 is a `hidden beast` number, since 41 + 0 + 96 + 6 + 9 + 498 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4109669498799 and 4109669498808.

It is not an unprimeable number, because it can be changed into a prime (4109669498887) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 178681282549 + ... + 178681282571.

Almost surely, 2^{4109669498880} is an apocalyptic number.

4109669498880 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 4109669498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8912006586432).

4109669498880 is an abundant number, since it is smaller than the sum of its proper divisors (13714343673984).

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

4109669498880 is an frugal number, since it uses more digits than its factorization.

4109669498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 4109669498880 in words is "four trillion, one hundred nine billion, six hundred sixty-nine million, four hundred ninety-eight thousand, eight hundred eighty".