31740029201241 has 45 divisors (see below), whose sum is σ = 48137505637221. Its totient is φ = 20841967285128.

The previous prime is 31740029201213. The next prime is 31740029201261. The reversal of 31740029201241 is 14210292004713.

The square root of 31740029201241 is 5633829.

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

31740029201241 is a `hidden beast` number, since 3 + 1 + 7 + 400 + 2 + 9 + 2 + 0 + 1 + 241 = 666.

It is not a de Polignac number, because 31740029201241 - 2⁷ = 31740029201113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31740029201196 and 31740029201205.

It is not an unprimeable number, because it can be changed into a prime (31740029201261) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3397194216 + ... + 3397203558.

Almost surely, 2^{31740029201241} is an apocalyptic number.

31740029201241 is the 5633829-th square number.

31740029201241 is the 2816915-th centered octagonal number.

It is an amenable number.

31740029201241 is a deficient number, since it is larger than the sum of its proper divisors (16397476435980).

31740029201241 is an frugal number, since it uses more digits than its factorization.

31740029201241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18832 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 31740029201241 in words is "thirty-one trillion, seven hundred forty billion, twenty-nine million, two hundred one thousand, two hundred forty-one".