449441457207120 has 720 divisors, whose sum is σ = 1830892950851328. Its totient is φ = 102161870576640.

The previous prime is 449441457207103. The next prime is 449441457207131. The reversal of 449441457207120 is 21702754144944.

449441457207120 is a `hidden beast` number, since 4 + 4 + 9 + 4 + 41 + 4 + 572 + 0 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171109977 + ... + 173716743.

Almost surely, 2^{449441457207120} is an apocalyptic number.

449441457207120 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 449441457207120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915446475425664).

449441457207120 is an abundant number, since it is smaller than the sum of its proper divisors (1381451493644208).

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

449441457207120 is a wasteful number, since it uses less digits than its factorization.

449441457207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606990 (or 2606965 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 449441457207120 in words is "four hundred forty-nine trillion, four hundred forty-one billion, four hundred fifty-seven million, two hundred seven thousand, one hundred twenty".