449413865570124 has 864 divisors, whose sum is σ = 1525788479255040. Its totient is φ = 108307887851520.

The previous prime is 449413865570119. The next prime is 449413865570129. The reversal of 449413865570124 is 421075568314944.

449413865570124 is a `hidden beast` number, since 4 + 4 + 9 + 4 + 1 + 38 + 6 + 5 + 570 + 1 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (449413865570119) and next prime (449413865570129).

It is a super-2 number, since 2×449413865570124² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (449413865570129) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18363648352 + ... + 18363672824.

It is a 1-persistent number, because it is pandigital, but 2⋅449413865570124 = 898827731140248 is not.

Almost surely, 2^{449413865570124} 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 449413865570124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762894239627520).

449413865570124 is an abundant number, since it is smaller than the sum of its proper divisors (1076374613684916).

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

449413865570124 is a wasteful number, since it uses less digits than its factorization.

449413865570124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24891 (or 24855 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 449413865570124 in words is "four hundred forty-nine trillion, four hundred thirteen billion, eight hundred sixty-five million, five hundred seventy thousand, one hundred twenty-four".