4142133441144 has 64 divisors (see below), whose sum is σ = 11694548004000. Its totient is φ = 1358076533760.

The previous prime is 4142133441139. The next prime is 4142133441157. The reversal of 4142133441144 is 4411443312414.

4142133441144 is a `hidden beast` number, since 4 + 1 + 42 + 1 + 33 + 441 + 144 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4142133441099 and 4142133441108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157171609 + ... + 157197960.

Almost surely, 2^{4142133441144} is an apocalyptic number.

It is an amenable number.

4142133441144 is an abundant number, since it is smaller than the sum of its proper divisors (7552414562856).

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

4142133441144 is a wasteful number, since it uses less digits than its factorization.

4142133441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314369645 (or 314369635 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 4142133441144 its reverse (4411443312414), we get a palindrome (8553576753558).

The spelling of 4142133441144 in words is "four trillion, one hundred forty-two billion, one hundred thirty-three million, four hundred forty-one thousand, one hundred forty-four".