449156872540800 has 576 divisors, whose sum is σ = 1697107150065600. Its totient is φ = 112720511139840.

The previous prime is 449156872540769. The next prime is 449156872540819. The reversal of 449156872540800 is 8045278651944.

It is a happy number.

449156872540800 is a `hidden beast` number, since 4 + 4 + 9 + 1 + 5 + 6 + 8 + 7 + 2 + 540 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 7764537477 + ... + 7764595323.

It is an arithmetic number, because the mean of its divisors is an integer number (2946366579975).

Almost surely, 2^{449156872540800} is an apocalyptic number.

449156872540800 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 449156872540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848553575032800).

449156872540800 is an abundant number, since it is smaller than the sum of its proper divisors (1247950277524800).

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

449156872540800 is a wasteful number, since it uses less digits than its factorization.

449156872540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73753 (or 73733 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 449156872540800 in words is "four hundred forty-nine trillion, one hundred fifty-six billion, eight hundred seventy-two million, five hundred forty thousand, eight hundred".