4404084879360 has 832 divisors, whose sum is σ = 14999752368000. Its totient is φ = 1101533282304.

The previous prime is 4404084879347. The next prime is 4404084879367. The reversal of 4404084879360 is 639784804044.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4404084879360.

It is not an unprimeable number, because it can be changed into a prime (4404084879367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14070558564 + ... + 14070558876.

Almost surely, 2^{4404084879360} is an apocalyptic number.

4404084879360 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 4404084879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499876184000).

4404084879360 is an abundant number, since it is smaller than the sum of its proper divisors (10595667488640).

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

4404084879360 is a wasteful number, since it uses less digits than its factorization.

4404084879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 4404084879360 in words is "four trillion, four hundred four billion, eighty-four million, eight hundred seventy-nine thousand, three hundred sixty".