4114554880 has 224 divisors, whose sum is σ = 11040831360. Its totient is φ = 1462763520.

The previous prime is 4114554869. The next prime is 4114554881. The reversal of 4114554880 is 884554114.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4114554881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13229925 + ... + 13230235.

Almost surely, 2^4114554880 is an apocalyptic number.

4114554880 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 4114554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520415680).

4114554880 is an abundant number, since it is smaller than the sum of its proper divisors (6926276480).

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

4114554880 is a wasteful number, since it uses less digits than its factorization.

4114554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The square root of 4114554880 is about 64144.7962035893. The cubic root of 4114554880 is about 1602.4123609936.

The spelling of 4114554880 in words is "four billion, one hundred fourteen million, five hundred fifty-four thousand, eight hundred eighty".