4100142405888 has 324 divisors, whose sum is σ = 12318304624080. Its totient is φ = 1360194840576.

The previous prime is 4100142405881. The next prime is 4100142405913. The reversal of 4100142405888 is 8885042410014.

4100142405888 is a `hidden beast` number, since 4 + 10 + 0 + 14 + 2 + 40 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-3 number, since 3×4100142405888³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4100142405881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4773157203 + ... + 4773158061.

Almost surely, 2^{4100142405888} is an apocalyptic number.

4100142405888 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 4100142405888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159152312040).

4100142405888 is an abundant number, since it is smaller than the sum of its proper divisors (8218162218192).

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

4100142405888 is an frugal number, since it uses more digits than its factorization.

4100142405888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 4100142405888 in words is "four trillion, one hundred billion, one hundred forty-two million, four hundred five thousand, eight hundred eighty-eight".