447441477120 has 640 divisors, whose sum is σ = 1750066560000. Its totient is φ = 107455610880.

The previous prime is 447441477097. The next prime is 447441477127. The reversal of 447441477120 is 21774144744.

447441477120 is a `hidden beast` number, since 4 + 47 + 4 + 414 + 77 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447441477127) 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, 82872181 + ... + 82877579.

It is an arithmetic number, because the mean of its divisors is an integer number (2734479000).

Almost surely, 2^447441477120 is an apocalyptic number.

447441477120 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 447441477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875033280000).

447441477120 is an abundant number, since it is smaller than the sum of its proper divisors (1302625082880).

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

447441477120 is a wasteful number, since it uses less digits than its factorization.

447441477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 447441477120 in words is "four hundred forty-seven billion, four hundred forty-one million, four hundred seventy-seven thousand, one hundred twenty".