4202331901681 has 9 divisors (see below), whose sum is σ = 4307413851723. Its totient is φ = 4099754003280.

The previous prime is 4202331901633. The next prime is 4202331901721. The reversal of 4202331901681 is 1861091332024.

It is a happy number.

The square root of 4202331901681 is 2049959.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 202491900081 + 3999840001600 = 449991^2 + 1999960^2 .

It is not a de Polignac number, because 4202331901681 - 2⁹ = 4202331901169 is a prime.

It is a super-2 number, since 2×4202331901681² (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 (4202331901601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 84023320 + ... + 84073318.

Almost surely, 2^{4202331901681} is an apocalyptic number.

4202331901681 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4202331901681 is the 2049959-th square number.

4202331901681 is the 1024980-th centered octagonal number.

It is an amenable number.

4202331901681 is a deficient number, since it is larger than the sum of its proper divisors (105081950042).

4202331901681 is an frugal number, since it uses more digits than its factorization.

4202331901681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100080 (or 50040 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 4202331901681 in words is "four trillion, two hundred two billion, three hundred thirty-one million, nine hundred one thousand, six hundred eighty-one".