4107720960 has 648 divisors, whose sum is σ = 17448238080. Its totient is φ = 887169024.

The previous prime is 4107720943. The next prime is 4107720989. The reversal of 4107720960 is 690277014.

It is a happy number.

It is a super-3 number, since 3×4107720960³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10724929 + ... + 10725311.

Almost surely, 2^4107720960 is an apocalyptic number.

4107720960 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 4107720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724119040).

4107720960 is an abundant number, since it is smaller than the sum of its proper divisors (13340517120).

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

4107720960 is a wasteful number, since it uses less digits than its factorization.

4107720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 4107720960 is about 64091.5045852412. The cubic root of 4107720960 is about 1601.5247132361.

Adding to 4107720960 its reverse (690277014), we get a palindrome (4797997974).

The spelling of 4107720960 in words is "four billion, one hundred seven million, seven hundred twenty thousand, nine hundred sixty".