4179878928960 has 1792 divisors, whose sum is σ = 17303666688000. Its totient is φ = 833288601600.

The previous prime is 4179878928947. The next prime is 4179878928983. The reversal of 4179878928960 is 698298789714.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6978094741 + ... + 6978095339.

It is an arithmetic number, because the mean of its divisors is an integer number (9656064000).

Almost surely, 2^{4179878928960} is an apocalyptic number.

4179878928960 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 4179878928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651833344000).

4179878928960 is an abundant number, since it is smaller than the sum of its proper divisors (13123787759040).

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

4179878928960 is a wasteful number, since it uses less digits than its factorization.

4179878928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 78.

The spelling of 4179878928960 in words is "four trillion, one hundred seventy-nine billion, eight hundred seventy-eight million, nine hundred twenty-eight thousand, nine hundred sixty".