40965355201 has 9 divisors (see below), whose sum is σ = 42335930403. Its totient is φ = 39637820160.

The previous prime is 40965355169. The next prime is 40965355217. The reversal of 40965355201 is 10255356904.

The square root of 40965355201 is 202399.

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

40965355201 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 only one way, i.e., 3546321601 + 37419033600 = 59551^2 + 193440^2 .

It is not a de Polignac number, because 40965355201 - 2⁵ = 40965355169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40965355801) 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, 6271105 + ... + 6277633.

It is an arithmetic number, because the mean of its divisors is an integer number (4703992267).

Almost surely, 2^40965355201 is an apocalyptic number.

40965355201 is the 202399-th square number.

40965355201 is the 101200-th centered octagonal number.

It is an amenable number.

40965355201 is a deficient number, since it is larger than the sum of its proper divisors (1370575202).

40965355201 is an frugal number, since it uses more digits than its factorization.

40965355201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13120 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 40965355201 in words is "forty billion, nine hundred sixty-five million, three hundred fifty-five thousand, two hundred one".