4381195104 has 432 divisors, whose sum is σ = 15554775600. Its totient is φ = 1158727680.

The previous prime is 4381195081. The next prime is 4381195121. The reversal of 4381195104 is 4015911834.

4381195104 is a `hidden beast` number, since 438 + 119 + 5 + 104 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8607202 + ... + 8607710.

It is an arithmetic number, because the mean of its divisors is an integer number (36006425).

Almost surely, 2^4381195104 is an apocalyptic number.

4381195104 is a gapful number since it is divisible by the number (44) 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 4381195104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777387800).

4381195104 is an abundant number, since it is smaller than the sum of its proper divisors (11173580496).

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

4381195104 is a wasteful number, since it uses less digits than its factorization.

4381195104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 4381195104 is about 66190.5967944088. The cubic root of 4381195104 is about 1636.3047756067.

The spelling of 4381195104 in words is "four billion, three hundred eighty-one million, one hundred ninety-five thousand, one hundred four".