40353114525201 has 12 divisors (see below), whose sum is σ = 58287949053828. Its totient is φ = 26902022367744.

The previous prime is 40353114525167. The next prime is 40353114525203. The reversal of 40353114525201 is 10252541135304.

40353114525201 is a `hidden beast` number, since 4 + 0 + 353 + 11 + 45 + 252 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13244941209600 + 27108173315601 = 3639360^2 + 5206551^2 .

It is not a de Polignac number, because 40353114525201 - 2⁶ = 40353114525137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40353114525203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531841 + ... + 8999393.

It is an arithmetic number, because the mean of its divisors is an integer number (4857329087819).

Almost surely, 2^{40353114525201} is an apocalyptic number.

It is an amenable number.

40353114525201 is a deficient number, since it is larger than the sum of its proper divisors (17934834528627).

40353114525201 is a wasteful number, since it uses less digits than its factorization.

40353114525201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8997072 (or 8997069 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 40353114525201 in words is "forty trillion, three hundred fifty-three billion, one hundred fourteen million, five hundred twenty-five thousand, two hundred one".