39629278642041 has 27 divisors (see below), whose sum is σ = 62919542661157. Its totient is φ = 24017618727960.

The previous prime is 39629278642013. The next prime is 39629278642069. The reversal of 39629278642041 is 14024687292693.

The square root of 39629278642041 is 6295179.

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

39629278642041 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 92 + 7 + 86 + 420 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (39629278642013) and next prime (39629278642069).

It is not a de Polignac number, because 39629278642041 - 2⁷ = 39629278641913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 39629278642041.

It is not an unprimeable number, because it can be changed into a prime (39629278640041) 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, 207645526 + ... + 207836288.

Almost surely, 2^{39629278642041} is an apocalyptic number.

39629278642041 is the 6295179-th square number.

39629278642041 is the 3147590-th centered octagonal number.

It is an amenable number.

39629278642041 is a deficient number, since it is larger than the sum of its proper divisors (23290264019116).

39629278642041 is an frugal number, since it uses more digits than its factorization.

39629278642041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381554 (or 190777 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 39629278642041 in words is "thirty-nine trillion, six hundred twenty-nine billion, two hundred seventy-eight million, six hundred forty-two thousand, forty-one".