449017640347040 has 96 divisors (see below), whose sum is σ = 1061119579922640. Its totient is φ = 179553661599744.

The previous prime is 449017640347009. The next prime is 449017640347061. The reversal of 449017640347040 is 40743046710944.

It can be written as a sum of positive squares in 8 ways, for example, as 250220386542736 + 198797253804304 = 15818356^2 + 14099548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12466807112 + ... + 12466843128.

Almost surely, 2^{449017640347040} is an apocalyptic number.

449017640347040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449017640347040 is an abundant number, since it is smaller than the sum of its proper divisors (612101939575600).

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

449017640347040 is a wasteful number, since it uses less digits than its factorization.

449017640347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57034 (or 57026 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 53.

The spelling of 449017640347040 in words is "four hundred forty-nine trillion, seventeen billion, six hundred forty million, three hundred forty-seven thousand, forty".