4405847472000 has 1024 divisors, whose sum is σ = 18041000140800. Its totient is φ = 1049490432000.

The previous prime is 4405847471983. The next prime is 4405847472041. The reversal of 4405847472000 is 2747485044.

4405847472000 is a `hidden beast` number, since 4 + 4 + 0 + 584 + 7 + 47 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×4405847472000² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174083347 + ... + 174108653.

It is an arithmetic number, because the mean of its divisors is an integer number (17618164200).

Almost surely, 2^{4405847472000} is an apocalyptic number.

4405847472000 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 4405847472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9020500070400).

4405847472000 is an abundant number, since it is smaller than the sum of its proper divisors (13635152668800).

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

4405847472000 is a wasteful number, since it uses less digits than its factorization.

4405847472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25389 (or 25361 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 4405847472000 in words is "four trillion, four hundred five billion, eight hundred forty-seven million, four hundred seventy-two thousand".