4141101888 has 224 divisors, whose sum is σ = 15178552320. Its totient is φ = 1075576320.

The previous prime is 4141101883. The next prime is 4141101911. The reversal of 4141101888 is 8881011414.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141101883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117495 + ... + 148617.

Almost surely, 2^4141101888 is an apocalyptic number.

4141101888 is a gapful number since it is divisible by the number (48) 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 4141101888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589276160).

4141101888 is an abundant number, since it is smaller than the sum of its proper divisors (11037450432).

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

4141101888 is a wasteful number, since it uses less digits than its factorization.

4141101888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31162 (or 31146 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 4141101888 is about 64351.3938310585. The cubic root of 4141101888 is about 1605.8512176152.

The spelling of 4141101888 in words is "four billion, one hundred forty-one million, one hundred one thousand, eight hundred eighty-eight".