40144101032331 has 32 divisors (see below), whose sum is σ = 59657470963200. Its totient is φ = 26679619818720.

The previous prime is 40144101032263. The next prime is 40144101032359. The reversal of 40144101032331 is 13323010144104.

40144101032331 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 410 + 10 + 3 + 233 + 1 = 666.

It is not a de Polignac number, because 40144101032331 - 2²³ = 40144092643723 is a prime.

It is a super-2 number, since 2×40144101032331² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40144101032295 and 40144101032304.

It is not an unprimeable number, because it can be changed into a prime (40144101032731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108820450 + ... + 109188728.

It is an arithmetic number, because the mean of its divisors is an integer number (1864295967600).

Almost surely, 2^{40144101032331} is an apocalyptic number.

40144101032331 is a deficient number, since it is larger than the sum of its proper divisors (19513369930869).

40144101032331 is a wasteful number, since it uses less digits than its factorization.

40144101032331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380816 (or 380810 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 40144101032331 its reverse (13323010144104), we get a palindrome (53467111176435).

The spelling of 40144101032331 in words is "forty trillion, one hundred forty-four billion, one hundred one million, thirty-two thousand, three hundred thirty-one".