4341768480 has 864 divisors, whose sum is σ = 18634359744. Its totient is φ = 951035904.

The previous prime is 4341768469. The next prime is 4341768493. The reversal of 4341768480 is 848671434.

4341768480 is a `hidden beast` number, since 434 + 176 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81920134 + ... + 81920186.

It is an arithmetic number, because the mean of its divisors is an integer number (21567546).

Almost surely, 2^4341768480 is an apocalyptic number.

4341768480 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 4341768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9317179872).

4341768480 is an abundant number, since it is smaller than the sum of its proper divisors (14292591264).

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

4341768480 is a wasteful number, since it uses less digits than its factorization.

4341768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4341768480 is about 65892.0972499738. The cubic root of 4341768480 is about 1631.3815779715.

The spelling of 4341768480 in words is "four billion, three hundred forty-one million, seven hundred sixty-eight thousand, four hundred eighty".