449566044480 has 1120 divisors, whose sum is σ = 2019604409856. Its totient is φ = 92493840384.

The previous prime is 449566044479. The next prime is 449566044511. The reversal of 449566044480 is 84440665944.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 70939872 + ... + 70946208.

Almost surely, 2^449566044480 is an apocalyptic number.

449566044480 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 449566044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009802204928).

449566044480 is an abundant number, since it is smaller than the sum of its proper divisors (1570038365376).

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

449566044480 is a wasteful number, since it uses less digits than its factorization.

449566044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6413 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 449566044480 in words is "four hundred forty-nine billion, five hundred sixty-six million, forty-four thousand, four hundred eighty".