40137075306 has 24 divisors (see below), whose sum is σ = 86984391780. Its totient is φ = 13375836096.

The previous prime is 40137075299. The next prime is 40137075317. The reversal of 40137075306 is 60357073104.

40137075306 is a `hidden beast` number, since 40 + 13 + 70 + 7 + 530 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38904012081 + 1233063225 = 197241^2 + 35115^2 .

It is a super-2 number, since 2×40137075306² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187515 + ... + 339758.

Almost surely, 2^40137075306 is an apocalyptic number.

40137075306 is an abundant number, since it is smaller than the sum of its proper divisors (46847316474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40137075306 is a wasteful number, since it uses less digits than its factorization.

40137075306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531510 (or 531507 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 40137075306 in words is "forty billion, one hundred thirty-seven million, seventy-five thousand, three hundred six".