2007240066441 has 27 divisors (see below), whose sum is σ = 3010879270893. Its totient is φ = 1338083538660.

The previous prime is 2007240066439. The next prime is 2007240066449. The reversal of 2007240066441 is 1446600427002.

The square root of 2007240066441 is 1416771.

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

2007240066441 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 2 + 4 + 0 + 0 + 6 + 644 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 2007240066441 - 2¹ = 2007240066439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2007240066396 and 2007240066405.

It is not an unprimeable number, because it can be changed into a prime (2007240066449) 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, 114749706 + ... + 114767196.

Almost surely, 2^{2007240066441} is an apocalyptic number.

2007240066441 is the 1416771-st square number.

2007240066441 is the 708386-th centered octagonal number.

It is an amenable number.

2007240066441 is a deficient number, since it is larger than the sum of its proper divisors (1003639204452).

2007240066441 is an frugal number, since it uses more digits than its factorization.

2007240066441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35006 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Multiplying 2007240066441 by its sum of digits (36), we get a square (72260642391876 = 8500626²).

The spelling of 2007240066441 in words is "two trillion, seven billion, two hundred forty million, sixty-six thousand, four hundred forty-one".