4181379552 has 288 divisors, whose sum is σ = 14410206720. Its totient is φ = 1123476480.

The previous prime is 4181379511. The next prime is 4181379589. The reversal of 4181379552 is 2559731814.

4181379552 is a `hidden beast` number, since 4 + 18 + 13 + 79 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4181379498 and 4181379507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6626277 + ... + 6626907.

It is an arithmetic number, because the mean of its divisors is an integer number (50035440).

Almost surely, 2^4181379552 is an apocalyptic number.

4181379552 is a gapful number since it is divisible by the number (42) 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 4181379552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205103360).

4181379552 is an abundant number, since it is smaller than the sum of its proper divisors (10228827168).

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

4181379552 is a wasteful number, since it uses less digits than its factorization.

4181379552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 835 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 4181379552 is about 64663.5875280671. The cubic root of 4181379552 is about 1611.0407673357.

The spelling of 4181379552 in words is "four billion, one hundred eighty-one million, three hundred seventy-nine thousand, five hundred fifty-two".