4380966464560 has 160 divisors (see below), whose sum is σ = 12329942083200. Its totient is φ = 1413193138176.

The previous prime is 4380966464557. The next prime is 4380966464597. The reversal of 4380966464560 is 654646690834.

4380966464560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27500016 + ... + 27658864.

It is an arithmetic number, because the mean of its divisors is an integer number (77062138020).

Almost surely, 2^{4380966464560} is an apocalyptic number.

4380966464560 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 4380966464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164971041600).

4380966464560 is an abundant number, since it is smaller than the sum of its proper divisors (7948975618640).

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

4380966464560 is a wasteful number, since it uses less digits than its factorization.

4380966464560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161783 (or 161777 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 61.

The spelling of 4380966464560 in words is "four trillion, three hundred eighty billion, nine hundred sixty-six million, four hundred sixty-four thousand, five hundred sixty".