4179288960 has 768 divisors, whose sum is σ = 18712512000. Its totient is φ = 865935360.

The previous prime is 4179288943. The next prime is 4179288961. The reversal of 4179288960 is 698829714.

4179288960 is a `hidden beast` number, since 417 + 92 + 8 + 89 + 60 = 666.

It is a super-2 number, since 2×4179288960² = 34932912422355763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4179288897 and 4179288906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4179288961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11974866 + ... + 11975214.

It is an arithmetic number, because the mean of its divisors is an integer number (24365250).

Almost surely, 2^4179288960 is an apocalyptic number.

4179288960 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 4179288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356256000).

4179288960 is an abundant number, since it is smaller than the sum of its proper divisors (14533223040).

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

4179288960 is a wasteful number, since it uses less digits than its factorization.

4179288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 4179288960 is about 64647.4203661677. The cubic root of 4179288960 is about 1610.7722283391.

The spelling of 4179288960 in words is "four billion, one hundred seventy-nine million, two hundred eighty-eight thousand, nine hundred sixty".