4142031201029 has 16 divisors (see below), whose sum is σ = 4282988367600. Its totient is φ = 4002606720000.

The previous prime is 4142031201023. The next prime is 4142031201053. The reversal of 4142031201029 is 9201021302414.

It can be written as a sum of positive squares in 8 ways, for example, as 4488732004 + 4137542469025 = 66998^2 + 2034095^2 .

It is not a de Polignac number, because 4142031201029 - 2²⁸ = 4141762765573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4142031200992 and 4142031201010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142031201023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59136029 + ... + 59206029.

It is an arithmetic number, because the mean of its divisors is an integer number (267686772975).

Almost surely, 2^{4142031201029} is an apocalyptic number.

It is an amenable number.

4142031201029 is a deficient number, since it is larger than the sum of its proper divisors (140957166571).

4142031201029 is a wasteful number, since it uses less digits than its factorization.

4142031201029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80920.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 4142031201029 in words is "four trillion, one hundred forty-two billion, thirty-one million, two hundred one thousand, twenty-nine".