40137006235733 has 32 divisors (see below), whose sum is σ = 46470981795840. Its totient is φ = 34282484530560.

The previous prime is 40137006235661. The next prime is 40137006235751. The reversal of 40137006235733 is 33753260073104.

40137006235733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 40137006235733 - 2³⁴ = 40119826366549 is a prime.

It is a super-2 number, since 2×40137006235733² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40137006235783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69600566 + ... + 70174872.

It is an arithmetic number, because the mean of its divisors is an integer number (1452218181120).

Almost surely, 2^{40137006235733} is an apocalyptic number.

It is an amenable number.

40137006235733 is a deficient number, since it is larger than the sum of its proper divisors (6333975560107).

40137006235733 is a wasteful number, since it uses less digits than its factorization.

40137006235733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577097.

The product of its (nonzero) digits is 952560, while the sum is 44.

The spelling of 40137006235733 in words is "forty trillion, one hundred thirty-seven billion, six million, two hundred thirty-five thousand, seven hundred thirty-three".