39987271955401 has 9 divisors (see below), whose sum is σ = 40087872227253. Its totient is φ = 39886923556320.

The previous prime is 39987271955399. The next prime is 39987271955437. The reversal of 39987271955401 is 10455917278993.

The square root of 39987271955401 is 6323549.

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

39987271955401 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 1183093465401 + 38804178490000 = 1087701^2 + 6229300^2 .

It is not a de Polignac number, because 39987271955401 - 2¹ = 39987271955399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39987271955461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2586323811 + ... + 2586339271.

Almost surely, 2^{39987271955401} is an apocalyptic number.

39987271955401 is the 6323549-th square number.

39987271955401 is the 3161775-th centered octagonal number.

It is an amenable number.

39987271955401 is a deficient number, since it is larger than the sum of its proper divisors (100600271852).

39987271955401 is an frugal number, since it uses more digits than its factorization.

39987271955401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31740 (or 15870 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 70.

The spelling of 39987271955401 in words is "thirty-nine trillion, nine hundred eighty-seven billion, two hundred seventy-one million, nine hundred fifty-five thousand, four hundred one".