40406376273201 has 45 divisors (see below), whose sum is σ = 61405665014793. Its totient is φ = 26478802861560.

The previous prime is 40406376273097. The next prime is 40406376273203. The reversal of 40406376273201 is 10237267360404.

The square root of 40406376273201 is 6356601.

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

40406376273201 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 6 + 376 + 2 + 73 + 201 = 666.

It is not a de Polignac number, because 40406376273201 - 2¹⁷ = 40406376142129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40406376273203) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3375349146 + ... + 3375361116.

Almost surely, 2^{40406376273201} is an apocalyptic number.

40406376273201 is the 6356601-st square number.

40406376273201 is the 3178301-st centered octagonal number.

It is an amenable number.

40406376273201 is a deficient number, since it is larger than the sum of its proper divisors (20999288741592).

40406376273201 is an frugal number, since it uses more digits than its factorization.

40406376273201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24072 (or 12033 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 40406376273201 in words is "forty trillion, four hundred six billion, three hundred seventy-six million, two hundred seventy-three thousand, two hundred one".