4448766013440 has 416 divisors, whose sum is σ = 16975119614976. Its totient is φ = 972647301120.

The previous prime is 4448766013399. The next prime is 4448766013441. The reversal of 4448766013440 is 443106678444.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4448766013441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9666970 + ... + 10116710.

Almost surely, 2^{4448766013440} is an apocalyptic number.

4448766013440 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 4448766013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487559807488).

4448766013440 is an abundant number, since it is smaller than the sum of its proper divisors (12526353601536).

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

4448766013440 is a wasteful number, since it uses less digits than its factorization.

4448766013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449803 (or 449781 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 4448766013440 in words is "four trillion, four hundred forty-eight billion, seven hundred sixty-six million, thirteen thousand, four hundred forty".