4134298880 has 108 divisors (see below), whose sum is σ = 10235736756. Its totient is φ = 1599897600.

The previous prime is 4134298877. The next prime is 4134298937. The reversal of 4134298880 is 888924314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2314764544 + 1819534336 = 48112^2 + 42656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1228400 + ... + 1231760.

Almost surely, 2^4134298880 is an apocalyptic number.

4134298880 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 4134298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117868378).

4134298880 is an abundant number, since it is smaller than the sum of its proper divisors (6101437876).

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

4134298880 is an equidigital number, since it uses as much as digits as its factorization.

4134298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 4134298880 is about 64298.5138241935. The cubic root of 4134298880 is about 1604.9713707558.

The spelling of 4134298880 in words is "four billion, one hundred thirty-four million, two hundred ninety-eight thousand, eight hundred eighty".