4142000444201 has 12 divisors (see below), whose sum is σ = 4628619698292. Its totient is φ = 3693176861184.

The previous prime is 4142000444189. The next prime is 4142000444209. The reversal of 4142000444201 is 1024440002414.

It can be written as a sum of positive squares in 2 ways, for example, as 3123967875625 + 1018032568576 = 1767475^2 + 1008976^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4142000444201 is a prime.

It is a super-2 number, since 2×4142000444201² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4142000444209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337455200 + ... + 337467473.

It is an arithmetic number, because the mean of its divisors is an integer number (385718308191).

Almost surely, 2^{4142000444201} is an apocalyptic number.

It is an amenable number.

4142000444201 is a deficient number, since it is larger than the sum of its proper divisors (486619254091).

4142000444201 is a wasteful number, since it uses less digits than its factorization.

4142000444201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674922728 (or 674922709 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 4142000444201 its reverse (1024440002414), we get a palindrome (5166440446615).

The spelling of 4142000444201 in words is "four trillion, one hundred forty-two billion, four hundred forty-four thousand, two hundred one".