40132327011777 has 384 divisors, whose sum is σ = 80897177088000. Its totient is φ = 18887613696000.

The previous prime is 40132327011769. The next prime is 40132327011779. The reversal of 40132327011777 is 77711072323104.

40132327011777 is a `hidden beast` number, since 40 + 1 + 323 + 270 + 1 + 17 + 7 + 7 = 666.

It is not a de Polignac number, because 40132327011777 - 2³ = 40132327011769 is a prime.

It is a super-2 number, since 2×40132327011777² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40132327011779) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31280067178 + ... + 31280068460.

It is an arithmetic number, because the mean of its divisors is an integer number (210669732000).

Almost surely, 2^{40132327011777} is an apocalyptic number.

It is an amenable number.

40132327011777 is an abundant number, since it is smaller than the sum of its proper divisors (40764850076223).

40132327011777 is a wasteful number, since it uses less digits than its factorization.

40132327011777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 40132327011777 in words is "forty trillion, one hundred thirty-two billion, three hundred twenty-seven million, eleven thousand, seven hundred seventy-seven".