40260306700201 has 81 divisors (see below), whose sum is σ = 48419605628541. Its totient is φ = 33378175386864.

The previous prime is 40260306700193. The next prime is 40260306700267. The reversal of 40260306700201 is 10200760306204.

The square root of 40260306700201 is 6345101.

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

It is not a de Polignac number, because 40260306700201 - 2³ = 40260306700193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40260306700001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 246995746546 + ... + 246995746708.

Almost surely, 2^{40260306700201} is an apocalyptic number.

40260306700201 is the 6345101-st square number.

40260306700201 is the 3172551-st centered octagonal number.

It is an amenable number.

40260306700201 is a deficient number, since it is larger than the sum of its proper divisors (8159298928340).

40260306700201 is an frugal number, since it uses more digits than its factorization.

40260306700201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 40260306700201 in words is "forty trillion, two hundred sixty billion, three hundred six million, seven hundred thousand, two hundred one".