4144881600 has 252 divisors, whose sum is σ = 14937481936. Its totient is φ = 1089884160.

The previous prime is 4144881557. The next prime is 4144881613. The reversal of 4144881600 is 61884414.

4144881600 is a `hidden beast` number, since 4 + 1 + 4 + 48 + 8 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049229 + ... + 1053171.

Almost surely, 2^4144881600 is an apocalyptic number.

4144881600 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 4144881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468740968).

4144881600 is an abundant number, since it is smaller than the sum of its proper divisors (10792600336).

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

4144881600 is a wasteful number, since it uses less digits than its factorization.

4144881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4144881600 is about 64380.7548883981. The cubic root of 4144881600 is about 1606.3396391001.

The spelling of 4144881600 in words is "four billion, one hundred forty-four million, eight hundred eighty-one thousand, six hundred".