449387779018752 has 936 divisors, whose sum is σ = 1590751240728000. Its totient is φ = 121541301633024.

The previous prime is 449387779018723. The next prime is 449387779018823. The reversal of 449387779018752 is 257810977783944.

449387779018752 is a `hidden beast` number, since 4 + 4 + 9 + 387 + 7 + 7 + 9 + 0 + 187 + 52 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49661591124 + ... + 49661600172.

Almost surely, 2^{449387779018752} is an apocalyptic number.

449387779018752 is a gapful number since it is divisible by the number (42) 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 449387779018752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795375620364000).

449387779018752 is an abundant number, since it is smaller than the sum of its proper divisors (1141363461709248).

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

449387779018752 is a wasteful number, since it uses less digits than its factorization.

449387779018752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10559 (or 10527 counting only the distinct ones).

The product of its (nonzero) digits is 5974456320, while the sum is 81.

The spelling of 449387779018752 in words is "four hundred forty-nine trillion, three hundred eighty-seven billion, seven hundred seventy-nine million, eighteen thousand, seven hundred fifty-two".