449770832110080 has 1280 divisors, whose sum is σ = 1790016631603200. Its totient is φ = 106296969461760.

The previous prime is 449770832110079. The next prime is 449770832110081. The reversal of 449770832110080 is 80011238077944.

449770832110080 is a `hidden beast` number, since 4 + 497 + 7 + 0 + 8 + 32 + 110 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (449770832110079) and next prime (449770832110081).

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 449770832109999 and 449770832110026.

It is not an unprimeable number, because it can be changed into a prime (449770832110081) 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 127 ways as a sum of consecutive naturals, for example, 3537567151 + ... + 3537694289.

It is an arithmetic number, because the mean of its divisors is an integer number (1398450493440).

Almost surely, 2^{449770832110080} is an apocalyptic number.

449770832110080 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 449770832110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895008315801600).

449770832110080 is an abundant number, since it is smaller than the sum of its proper divisors (1340245799493120).

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

449770832110080 is a wasteful number, since it uses less digits than its factorization.

449770832110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127342 (or 127320 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 449770832110080 in words is "four hundred forty-nine trillion, seven hundred seventy billion, eight hundred thirty-two million, one hundred ten thousand, eighty".