40040410201 has 9 divisors (see below), whose sum is σ = 44013779509. Its totient is φ = 36398371900.

The previous prime is 40040410159. The next prime is 40040410219. The reversal of 40040410201 is 10201404004.

The square root of 40040410201 is 200101.

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

It is a de Polignac number, because none of the positive numbers 2^k-40040410201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40040410231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2192016 + ... + 2210206.

Almost surely, 2^40040410201 is an apocalyptic number.

40040410201 is the 200101-st square number.

40040410201 is the 100051-st centered octagonal number.

It is an amenable number.

40040410201 is a deficient number, since it is larger than the sum of its proper divisors (3973369308).

40040410201 is an frugal number, since it uses more digits than its factorization.

40040410201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36404 (or 18202 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 40040410201 by its sum of digits (16), we get a square (640646563216 = 800404²).

Adding to 40040410201 its reverse (10201404004), we get a palindrome (50241814205).

It can be divided in two parts, 40040 and 410201, that added together give a square (450241 = 671²).

The spelling of 40040410201 in words is "forty billion, forty million, four hundred ten thousand, two hundred one".