4514950920480 has 1728 divisors, whose sum is σ = 20179665063936. Its totient is φ = 837817344000.

The previous prime is 4514950920463. The next prime is 4514950920499. The reversal of 4514950920480 is 840290594154.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1355432415 + ... + 1355435745.

It is an arithmetic number, because the mean of its divisors is an integer number (11678046912).

Almost surely, 2^{4514950920480} is an apocalyptic number.

4514950920480 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 4514950920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10089832531968).

4514950920480 is an abundant number, since it is smaller than the sum of its proper divisors (15664714143456).

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

4514950920480 is a wasteful number, since it uses less digits than its factorization.

4514950920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 4514950920480 in words is "four trillion, five hundred fourteen billion, nine hundred fifty million, nine hundred twenty thousand, four hundred eighty".