40346011126201 has 27 divisors (see below), whose sum is σ = 44816698466253. Its totient is φ = 36293968465920.

The previous prime is 40346011126153. The next prime is 40346011126207. The reversal of 40346011126201 is 10262111064304.

The square root of 40346011126201 is 6351851.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18535616700601 + 21810394425600 = 4305301^2 + 4670160^2 .

It is not a de Polignac number, because 40346011126201 - 2³³ = 40337421191609 is a prime.

It is a super-2 number, since 2×40346011126201² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40346011126207) 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, 6777422041 + ... + 6777427993.

Almost surely, 2^{40346011126201} is an apocalyptic number.

40346011126201 is the 6351851-st square number.

40346011126201 is the 3175926-th centered octagonal number.

It is an amenable number.

40346011126201 is a deficient number, since it is larger than the sum of its proper divisors (4470687340052).

40346011126201 is an frugal number, since it uses more digits than its factorization.

40346011126201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12122 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 40346011126201 in words is "forty trillion, three hundred forty-six billion, eleven million, one hundred twenty-six thousand, two hundred one".