449031885120 has 2688 divisors, whose sum is σ = 2147227729920. Its totient is φ = 86712975360.

The previous prime is 449031885119. The next prime is 449031885121. The reversal of 449031885120 is 21588130944.

449031885120 is a `hidden beast` number, since 4 + 490 + 31 + 8 + 8 + 5 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (449031885119) and next prime (449031885121).

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 (449031885121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5045302036 + ... + 5045302124.

It is an arithmetic number, because the mean of its divisors is an integer number (798819840).

Almost surely, 2^449031885120 is an apocalyptic number.

449031885120 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 449031885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073613864960).

449031885120 is an abundant number, since it is smaller than the sum of its proper divisors (1698195844800).

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

449031885120 is a wasteful number, since it uses less digits than its factorization.

449031885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 449031885120 in words is "four hundred forty-nine billion, thirty-one million, eight hundred eighty-five thousand, one hundred twenty".