4079930388480 has 624 divisors, whose sum is σ = 15117471585216. Its totient is φ = 1015252254720.

The previous prime is 4079930388433. The next prime is 4079930388491. The reversal of 4079930388480 is 848830399704.

4079930388480 is a `hidden beast` number, since 4 + 0 + 7 + 99 + 30 + 38 + 8 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173802024 + ... + 173825496.

It is an arithmetic number, because the mean of its divisors is an integer number (24226717284).

Almost surely, 2^{4079930388480} is an apocalyptic number.

4079930388480 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 4079930388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558735792608).

4079930388480 is an abundant number, since it is smaller than the sum of its proper divisors (11037541196736).

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

4079930388480 is a wasteful number, since it uses less digits than its factorization.

4079930388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23572 (or 23547 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 4079930388480 in words is "four trillion, seventy-nine billion, nine hundred thirty million, three hundred eighty-eight thousand, four hundred eighty".