4107948880 has 160 divisors (see below), whose sum is σ = 11407269888. Its totient is φ = 1346112000.

The previous prime is 4107948877. The next prime is 4107948883. The reversal of 4107948880 is 888497014.

4107948880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4107948877) and next prime (4107948883).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4107948883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1439455 + ... + 1442305.

Almost surely, 2^4107948880 is an apocalyptic number.

4107948880 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 4107948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703634944).

4107948880 is an abundant number, since it is smaller than the sum of its proper divisors (7299321008).

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

4107948880 is a wasteful number, since it uses less digits than its factorization.

4107948880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The square root of 4107948880 is about 64093.2826433473. The cubic root of 4107948880 is about 1601.5543332911.

The spelling of 4107948880 in words is "four billion, one hundred seven million, nine hundred forty-eight thousand, eight hundred eighty".