4187114880 has 256 divisors, whose sum is σ = 14455929600. Its totient is φ = 1024745472.

The previous prime is 4187114849. The next prime is 4187114923. The reversal of 4187114880 is 884117814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5665551 + ... + 5666289.

It is an arithmetic number, because the mean of its divisors is an integer number (56468475).

Almost surely, 2^4187114880 is an apocalyptic number.

4187114880 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 4187114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227964800).

4187114880 is an abundant number, since it is smaller than the sum of its proper divisors (10268814720).

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

4187114880 is a wasteful number, since it uses less digits than its factorization.

4187114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 4187114880 is about 64707.9197625762. The cubic root of 4187114880 is about 1611.7770176375. Note that the first 3 decimals are identical.

The spelling of 4187114880 in words is "four billion, one hundred eighty-seven million, one hundred fourteen thousand, eight hundred eighty".