445449897552240 has 720 divisors, whose sum is σ = 1748499888844800. Its totient is φ = 101332296317952.

The previous prime is 445449897552239. The next prime is 445449897552241. The reversal of 445449897552240 is 42255798944544.

445449897552240 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 4 + 9 + 8 + 97 + 5 + 522 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (445449897552239) and next prime (445449897552241).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×445449897552240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445449897552241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43420396231 + ... + 43420406489.

It is an arithmetic number, because the mean of its divisors is an integer number (2428472067840).

Almost surely, 2^{445449897552240} is an apocalyptic number.

445449897552240 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 445449897552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874249944422400).

445449897552240 is an abundant number, since it is smaller than the sum of its proper divisors (1303049991292560).

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

445449897552240 is a wasteful number, since it uses less digits than its factorization.

445449897552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16034 (or 16018 counting only the distinct ones).

The product of its (nonzero) digits is 2322432000, while the sum is 72.

The spelling of 445449897552240 in words is "four hundred forty-five trillion, four hundred forty-nine billion, eight hundred ninety-seven million, five hundred fifty-two thousand, two hundred forty".