449051735040 has 704 divisors, whose sum is σ = 1563845640192. Its totient is φ = 109648281600.

The previous prime is 449051735039. The next prime is 449051735051. The reversal of 449051735040 is 40537150944.

It is a junction number, because it is equal to n+sod(n) for n = 449051734983 and 449051735001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1434669924 + ... + 1434670236.

It is an arithmetic number, because the mean of its divisors is an integer number (2221371648).

Almost surely, 2^449051735040 is an apocalyptic number.

449051735040 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 449051735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781922820096).

449051735040 is an abundant number, since it is smaller than the sum of its proper divisors (1114793905152).

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

449051735040 is a wasteful number, since it uses less digits than its factorization.

449051735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

Adding to 449051735040 its reverse (40537150944), we get a palindrome (489588885984).

The spelling of 449051735040 in words is "four hundred forty-nine billion, fifty-one million, seven hundred thirty-five thousand, forty".