40142135746121 has 24 divisors (see below), whose sum is σ = 43803769084440. Its totient is φ = 36752229937152.

The previous prime is 40142135746099. The next prime is 40142135746157. The reversal of 40142135746121 is 12164753124104.

It can be written as a sum of positive squares in 12 ways, for example, as 6027319603600 + 34114816142521 = 2455060^2 + 5840789^2 .

It is not a de Polignac number, because 40142135746121 - 2²⁶ = 40142068637257 is a prime.

It is a super-2 number, since 2×40142135746121² (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 (40142135746421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52368065 + ... + 53129073.

It is an arithmetic number, because the mean of its divisors is an integer number (1825157045185).

Almost surely, 2^{40142135746121} is an apocalyptic number.

It is an amenable number.

40142135746121 is a deficient number, since it is larger than the sum of its proper divisors (3661633338319).

40142135746121 is a wasteful number, since it uses less digits than its factorization.

40142135746121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766013 (or 765996 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 40142135746121 in words is "forty trillion, one hundred forty-two billion, one hundred thirty-five million, seven hundred forty-six thousand, one hundred twenty-one".