4141599840 has 288 divisors, whose sum is σ = 17103078720. Its totient is φ = 890929152.

The previous prime is 4141599817. The next prime is 4141599851. The reversal of 4141599840 is 489951414.

It is a happy number.

4141599840 is a `hidden beast` number, since 4 + 14 + 1 + 599 + 8 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159276 + ... + 183444.

It is an arithmetic number, because the mean of its divisors is an integer number (59385690).

Almost surely, 2^4141599840 is an apocalyptic number.

4141599840 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 4141599840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8551539360).

4141599840 is an abundant number, since it is smaller than the sum of its proper divisors (12961478880).

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

4141599840 is a wasteful number, since it uses less digits than its factorization.

4141599840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24214 (or 24203 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4141599840 is about 64355.2627218629. The cubic root of 4141599840 is about 1605.9155809013.

The spelling of 4141599840 in words is "four billion, one hundred forty-one million, five hundred ninety-nine thousand, eight hundred forty".