4409864146680 has 256 divisors, whose sum is σ = 13754676355200. Its totient is φ = 1129706618880.

The previous prime is 4409864146679. The next prime is 4409864146739. The reversal of 4409864146680 is 866414689044.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1674842644 + ... + 1674845276.

Almost surely, 2^{4409864146680} is an apocalyptic number.

4409864146680 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 4409864146680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877338177600).

4409864146680 is an abundant number, since it is smaller than the sum of its proper divisors (9344812208520).

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

4409864146680 is a wasteful number, since it uses less digits than its factorization.

4409864146680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 4409864146680 in words is "four trillion, four hundred nine billion, eight hundred sixty-four million, one hundred forty-six thousand, six hundred eighty".