4142077072081 has 32 divisors (see below), whose sum is σ = 4560573417120. Its totient is φ = 3738651033600.

The previous prime is 4142077072043. The next prime is 4142077072099. The reversal of 4142077072081 is 1802707702414.

It can be written as a sum of positive squares in 16 ways, for example, as 4028787609856 + 113289462225 = 2007184^2 + 336585^2 .

It is a cyclic number.

It is not a de Polignac number, because 4142077072081 - 2⁷ = 4142077071953 is a prime.

It is a super-2 number, since 2×4142077072081² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4142077072681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96465225 + ... + 96508153.

It is an arithmetic number, because the mean of its divisors is an integer number (142517919285).

Almost surely, 2^{4142077072081} is an apocalyptic number.

It is an amenable number.

4142077072081 is a deficient number, since it is larger than the sum of its proper divisors (418496345039).

4142077072081 is a wasteful number, since it uses less digits than its factorization.

4142077072081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43717.

The product of its (nonzero) digits is 175616, while the sum is 43.

The spelling of 4142077072081 in words is "four trillion, one hundred forty-two billion, seventy-seven million, seventy-two thousand, eighty-one".