4450464829440 has 1248 divisors, whose sum is σ = 18714620660736. Its totient is φ = 993257717760.

The previous prime is 4450464829313. The next prime is 4450464829453. The reversal of 4450464829440 is 449284640544.

4450464829440 is a `hidden beast` number, since 4 + 4 + 50 + 464 + 8 + 2 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1497967155 + ... + 1497970125.

It is an arithmetic number, because the mean of its divisors is an integer number (14995689632).

Almost surely, 2^{4450464829440} is an apocalyptic number.

4450464829440 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 4450464829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357310330368).

4450464829440 is an abundant number, since it is smaller than the sum of its proper divisors (14264155831296).

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

4450464829440 is an equidigital number, since it uses as much as digits as its factorization.

4450464829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 4450464829440 in words is "four trillion, four hundred fifty billion, four hundred sixty-four million, eight hundred twenty-nine thousand, four hundred forty".