4379904648320 has 192 divisors, whose sum is σ = 11388840926400. Its totient is φ = 1606208624640.

The previous prime is 4379904648319. The next prime is 4379904648337. The reversal of 4379904648320 is 238464099734.

It is a self number, because there is not a number n which added to its sum of digits gives 4379904648320.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11498357 + ... + 11873163.

It is an arithmetic number, because the mean of its divisors is an integer number (59316879825).

Almost surely, 2^{4379904648320} is an apocalyptic number.

4379904648320 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 4379904648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694420463200).

4379904648320 is an abundant number, since it is smaller than the sum of its proper divisors (7008936278080).

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

4379904648320 is a wasteful number, since it uses less digits than its factorization.

4379904648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374907 (or 374864 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 59.

The spelling of 4379904648320 in words is "four trillion, three hundred seventy-nine billion, nine hundred four million, six hundred forty-eight thousand, three hundred twenty".