4178640960 has 280 divisors, whose sum is σ = 16008848856. Its totient is φ = 1028505600.

The previous prime is 4178640857. The next prime is 4178640979. The reversal of 4178640960 is 690468714.

It can be written as a sum of positive squares in 4 ways, for example, as 16842816 + 4161798144 = 4104^2 + 64512^2 .

It is a super-2 number, since 2×4178640960² = 34922080545179443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330760 + ... + 343160.

Almost surely, 2^4178640960 is an apocalyptic number.

4178640960 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 4178640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8004424428).

4178640960 is an abundant number, since it is smaller than the sum of its proper divisors (11830207896).

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

4178640960 is a wasteful number, since it uses less digits than its factorization.

4178640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12443 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4178640960 is about 64642.4083709758. The cubic root of 4178640960 is about 1610.6889737979.

The spelling of 4178640960 in words is "four billion, one hundred seventy-eight million, six hundred forty thousand, nine hundred sixty".