449042960736 has 240 divisors, whose sum is σ = 1430831367504. Its totient is φ = 137599451136.

The previous prime is 449042960731. The next prime is 449042960761. The reversal of 449042960736 is 637069240944.

449042960736 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 4 + 29 + 607 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449042960731) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1776256 + ... + 2013248.

Almost surely, 2^449042960736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449042960736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715415683752).

449042960736 is an abundant number, since it is smaller than the sum of its proper divisors (981788406768).

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

449042960736 is a wasteful number, since it uses less digits than its factorization.

449042960736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237075 (or 237058 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 449042960736 in words is "four hundred forty-nine billion, forty-two million, nine hundred sixty thousand, seven hundred thirty-six".