40105735323137 has 64 divisors (see below), whose sum is σ = 49283334662400. Its totient is φ = 32202836090880.

The previous prime is 40105735323107. The next prime is 40105735323191. The reversal of 40105735323137 is 73132353750104.

It is not a de Polignac number, because 40105735323137 - 2⁸ = 40105735322881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40105735323107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30101789 + ... + 31405877.

It is an arithmetic number, because the mean of its divisors is an integer number (770052104100).

Almost surely, 2^{40105735323137} is an apocalyptic number.

It is an amenable number.

40105735323137 is a deficient number, since it is larger than the sum of its proper divisors (9177599339263).

40105735323137 is a wasteful number, since it uses less digits than its factorization.

40105735323137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304306.

The product of its (nonzero) digits is 793800, while the sum is 44.

The spelling of 40105735323137 in words is "forty trillion, one hundred five billion, seven hundred thirty-five million, three hundred twenty-three thousand, one hundred thirty-seven".