4179479040 has 640 divisors, whose sum is σ = 16970342400. Its totient is φ = 965099520.

The previous prime is 4179479023. The next prime is 4179479047. The reversal of 4179479040 is 409749714.

4179479040 is a `hidden beast` number, since 4 + 179 + 479 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (4179479047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17487241 + ... + 17487479.

It is an arithmetic number, because the mean of its divisors is an integer number (26516160).

Almost surely, 2^4179479040 is an apocalyptic number.

4179479040 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 4179479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485171200).

4179479040 is an abundant number, since it is smaller than the sum of its proper divisors (12790863360).

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

4179479040 is a wasteful number, since it uses less digits than its factorization.

4179479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4179479040 is about 64648.8904777182. The cubic root of 4179479040 is about 1610.7966480388.

The spelling of 4179479040 in words is "four billion, one hundred seventy-nine million, four hundred seventy-nine thousand, forty".