449008634880 has 2112 divisors, whose sum is σ = 1946770495488. Its totient is φ = 98099527680.

The previous prime is 449008634827. The next prime is 449008634941. The reversal of 449008634880 is 88436800944.

449008634880 is a `hidden beast` number, since 449 + 0 + 0 + 86 + 3 + 48 + 80 = 666.

It is a super-2 number, since 2×449008634880² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6324065245 + ... + 6324065315.

Almost surely, 2^449008634880 is an apocalyptic number.

449008634880 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 449008634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973385247744).

449008634880 is an abundant number, since it is smaller than the sum of its proper divisors (1497761860608).

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

449008634880 is a wasteful number, since it uses less digits than its factorization.

449008634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 449008634880 in words is "four hundred forty-nine billion, eight million, six hundred thirty-four thousand, eight hundred eighty".