40084100172 has 144 divisors (see below), whose sum is σ = 107784069120. Its totient is φ = 12534407424.

The previous prime is 40084100141. The next prime is 40084100227. The reversal of 40084100172 is 27100148004.

40084100172 is a `hidden beast` number, since 400 + 84 + 10 + 0 + 172 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9356743 + ... + 9361025.

It is an arithmetic number, because the mean of its divisors is an integer number (748500480).

Almost surely, 2^40084100172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40084100172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53892034560).

40084100172 is an abundant number, since it is smaller than the sum of its proper divisors (67699968948).

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

40084100172 is a wasteful number, since it uses less digits than its factorization.

40084100172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 40084100172 its reverse (27100148004), we get a palindrome (67184248176).

The spelling of 40084100172 in words is "forty billion, eighty-four million, one hundred thousand, one hundred seventy-two".