4451266068480 has 2016 divisors, whose sum is σ = 20134494995328. Its totient is φ = 924938403840.

The previous prime is 4451266068463. The next prime is 4451266068493. The reversal of 4451266068480 is 848606621544.

4451266068480 is a `hidden beast` number, since 4 + 4 + 5 + 1 + 26 + 606 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×4451266068480² (a number of 26 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 404660551675 + ... + 404660551685.

It is an arithmetic number, because the mean of its divisors is an integer number (9987348708).

Almost surely, 2^{4451266068480} is an apocalyptic number.

4451266068480 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 4451266068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10067247497664).

4451266068480 is an abundant number, since it is smaller than the sum of its proper divisors (15683228926848).

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

4451266068480 is an frugal number, since it uses more digits than its factorization.

4451266068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 4451266068480 in words is "four trillion, four hundred fifty-one billion, two hundred sixty-six million, sixty-eight thousand, four hundred eighty".