449020476128 has 384 divisors, whose sum is σ = 1141633253376. Its totient is φ = 169404825600.

The previous prime is 449020476127. The next prime is 449020476139. The reversal of 449020476128 is 821674020944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449020476127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 974013818 + ... + 974014278.

It is an arithmetic number, because the mean of its divisors is an integer number (2973003264).

Almost surely, 2^449020476128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449020476128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570816626688).

449020476128 is an abundant number, since it is smaller than the sum of its proper divisors (692612777248).

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

449020476128 is a wasteful number, since it uses less digits than its factorization.

449020476128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The spelling of 449020476128 in words is "four hundred forty-nine billion, twenty million, four hundred seventy-six thousand, one hundred twenty-eight".