4474459100160 has 1188 divisors, whose sum is σ = 19161220000572. Its totient is φ = 962432335872.

The previous prime is 4474459100119. The next prime is 4474459100227. The reversal of 4474459100160 is 610019544744.

4474459100160 is a `hidden beast` number, since 4 + 4 + 7 + 44 + 591 + 0 + 0 + 16 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 70102093824 + 4404357006336 = 264768^2 + 2098656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 652535452 + ... + 652542308.

Almost surely, 2^{4474459100160} is an apocalyptic number.

4474459100160 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 4474459100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580610000286).

4474459100160 is an abundant number, since it is smaller than the sum of its proper divisors (14686760900412).

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

4474459100160 is a wasteful number, since it uses less digits than its factorization.

4474459100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4474459100160 in words is "four trillion, four hundred seventy-four billion, four hundred fifty-nine million, one hundred thousand, one hundred sixty".