39417942413641 has 27 divisors (see below), whose sum is σ = 44412884824917. Its totient is φ = 34957969728000.

The previous prime is 39417942413593. The next prime is 39417942413651. The reversal of 39417942413641 is 14631424971493.

The square root of 39417942413641 is 6278371.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8098697164041 + 31319245249600 = 2845821^2 + 5596360^2 .

It is not a de Polignac number, because 39417942413641 - 2¹³ = 39417942405449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39417942413651) 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, 2831538361 + ... + 2831552281.

Almost surely, 2^{39417942413641} is an apocalyptic number.

39417942413641 is the 6278371-st square number.

39417942413641 is the 3139186-th centered octagonal number.

It is an amenable number.

39417942413641 is a deficient number, since it is larger than the sum of its proper divisors (4994942411276).

39417942413641 is an frugal number, since it uses more digits than its factorization.

39417942413641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27946 (or 13973 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 58.

The spelling of 39417942413641 in words is "thirty-nine trillion, four hundred seventeen billion, nine hundred forty-two million, four hundred thirteen thousand, six hundred forty-one".