4107792480 has 192 divisors, whose sum is σ = 14417077248. Its totient is φ = 974581760.

The previous prime is 4107792463. The next prime is 4107792499. The reversal of 4107792480 is 842977014.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239884 + ... + 256436.

It is an arithmetic number, because the mean of its divisors is an integer number (75088944).

Almost surely, 2^4107792480 is an apocalyptic number.

4107792480 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 4107792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208538624).

4107792480 is an abundant number, since it is smaller than the sum of its proper divisors (10309284768).

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

4107792480 is a wasteful number, since it uses less digits than its factorization.

4107792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16629 (or 16621 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 4107792480 is about 64092.0625350753. The cubic root of 4107792480 is about 1601.5340079589.

The spelling of 4107792480 in words is "four billion, one hundred seven million, seven hundred ninety-two thousand, four hundred eighty".