4141598112 has 144 divisors (see below), whose sum is σ = 12825540000. Its totient is φ = 1262725632.

The previous prime is 4141598107. The next prime is 4141598119. The reversal of 4141598112 is 2118951414.

4141598112 is a `hidden beast` number, since 41 + 415 + 98 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (4141598119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145639 + ... + 171737.

It is an arithmetic number, because the mean of its divisors is an integer number (89066250).

Almost surely, 2^4141598112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141598112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412770000).

4141598112 is an abundant number, since it is smaller than the sum of its proper divisors (8683941888).

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

4141598112 is a wasteful number, since it uses less digits than its factorization.

4141598112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26163 (or 26152 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 4141598112 is about 64355.2492963861. The cubic root of 4141598112 is about 1605.9153575559.

It can be divided in two parts, 4141 and 598112, that added together give a triangular number (602253 = T₁₀₉₇).

The spelling of 4141598112 in words is "four billion, one hundred forty-one million, five hundred ninety-eight thousand, one hundred twelve".