40042060632 has 192 divisors, whose sum is σ = 126793605120. Its totient is φ = 11179897344.

The previous prime is 40042060613. The next prime is 40042060753. The reversal of 40042060632 is 23606024004.

40042060632 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 20 + 6 + 0 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40042060596 and 40042060605.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4283868 + ... + 4293204.

It is an arithmetic number, because the mean of its divisors is an integer number (660383360).

Almost surely, 2^40042060632 is an apocalyptic number.

40042060632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40042060632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63396802560).

40042060632 is an abundant number, since it is smaller than the sum of its proper divisors (86751544488).

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

40042060632 is a wasteful number, since it uses less digits than its factorization.

40042060632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9550 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40042060632 its reverse (23606024004), we get a palindrome (63648084636).

It can be divided in two parts, 4004 and 2060632, that multiplied together give a palindrome (8250770528).

The spelling of 40042060632 in words is "forty billion, forty-two million, sixty thousand, six hundred thirty-two".