449225038080 has 1944 divisors, whose sum is σ = 2080457025192. Its totient is φ = 88884117504.

The previous prime is 449225038049. The next prime is 449225038109. The reversal of 449225038080 is 80830522944.

449225038080 is a `hidden beast` number, since 4 + 49 + 22 + 503 + 8 + 0 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 269136838656 + 180088199424 = 518784^2 + 424368^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1621750902 + ... + 1621751178.

It is an arithmetic number, because the mean of its divisors is an integer number (1070193943).

Almost surely, 2^449225038080 is an apocalyptic number.

449225038080 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 449225038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040228512596).

449225038080 is an abundant number, since it is smaller than the sum of its proper divisors (1631231987112).

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

449225038080 is a wasteful number, since it uses less digits than its factorization.

449225038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 449225038080 in words is "four hundred forty-nine billion, two hundred twenty-five million, thirty-eight thousand, eighty".