42849414001 has 9 divisors (see below), whose sum is σ = 43050939841. Its totient is φ = 42648830032.

The previous prime is 42849413969. The next prime is 42849414011. The reversal of 42849414001 is 10041494824.

The square root of 42849414001 is 207001.

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

42849414001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23271807601 + 19577606400 = 152551^2 + 139920^2 .

It is not a de Polignac number, because 42849414001 - 2⁵ = 42849413969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42849414011) 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, 65618991 + ... + 65619643.

Almost surely, 2^42849414001 is an apocalyptic number.

42849414001 is the 207001-st square number.

42849414001 is the 103501-st centered octagonal number.

It is an amenable number.

42849414001 is a deficient number, since it is larger than the sum of its proper divisors (201525840).

42849414001 is an frugal number, since it uses more digits than its factorization.

42849414001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 42849414001 in words is "forty-two billion, eight hundred forty-nine million, four hundred fourteen thousand, one".