4298693142241 has 27 divisors (see below), whose sum is σ = 4484921777739. Its totient is φ = 4120119388800.

The previous prime is 4298693142221. The next prime is 4298693142277. The reversal of 4298693142241 is 1422413968924.

The square root of 4298693142241 is 2073329.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3906666887841 + 392026254400 = 1976529^2 + 626120^2 .

It is not a de Polignac number, because 4298693142241 - 2²³ = 4298684753633 is a prime.

It is a super-2 number, since 2×4298693142241² (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 (4298693142221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5185395415 + ... + 5185396243.

Almost surely, 2^{4298693142241} is an apocalyptic number.

4298693142241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4298693142241 is the 2073329-th square number.

4298693142241 is the 1036665-th centered octagonal number.

It is an amenable number.

4298693142241 is a deficient number, since it is larger than the sum of its proper divisors (186228635498).

4298693142241 is an frugal number, since it uses more digits than its factorization.

4298693142241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 55.

The spelling of 4298693142241 in words is "four trillion, two hundred ninety-eight billion, six hundred ninety-three million, one hundred forty-two thousand, two hundred forty-one".