449525681010 has 288 divisors, whose sum is σ = 1402295431680. Its totient is φ = 99544806144.

The previous prime is 449525681009. The next prime is 449525681029. The reversal of 449525681010 is 10186525944.

449525681010 is a `hidden beast` number, since 4 + 49 + 525 + 6 + 81 + 0 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 38991867 + ... + 39003393.

It is an arithmetic number, because the mean of its divisors is an integer number (4869081360).

Almost surely, 2^449525681010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449525681010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701147715840).

449525681010 is an abundant number, since it is smaller than the sum of its proper divisors (952769750670).

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

449525681010 is a wasteful number, since it uses less digits than its factorization.

449525681010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11830 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 449525681010 in words is "four hundred forty-nine billion, five hundred twenty-five million, six hundred eighty-one thousand, ten".