40106017723752 has 48 divisors (see below), whose sum is σ = 108621519402240. Its totient is φ = 13368542761248.

The previous prime is 40106017723747. The next prime is 40106017723781. The reversal of 40106017723752 is 25732771060104.

40106017723752 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 601 + 7 + 7 + 2 + 37 + 5 + 2 = 666.

It is a super-3 number, since 3×40106017723752³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40106017723698 and 40106017723707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4909723 + ... + 10213589.

It is an arithmetic number, because the mean of its divisors is an integer number (2262948320880).

Almost surely, 2^{40106017723752} is an apocalyptic number.

It is an amenable number.

40106017723752 is an abundant number, since it is smaller than the sum of its proper divisors (68515501678488).

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

40106017723752 is a wasteful number, since it uses less digits than its factorization.

40106017723752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408902 (or 5408895 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

Adding to 40106017723752 its reverse (25732771060104), we get a palindrome (65838788783856).

The spelling of 40106017723752 in words is "forty trillion, one hundred six billion, seventeen million, seven hundred twenty-three thousand, seven hundred fifty-two".