40242112632 has 256 divisors, whose sum is σ = 126950976000. Its totient is φ = 11733755904.

The previous prime is 40242112621. The next prime is 40242112667. The reversal of 40242112632 is 23621124204.

40242112632 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 21 + 1 + 2 + 632 = 666.

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 = 40242112596 and 40242112605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3692263 + ... + 3703145.

It is an arithmetic number, because the mean of its divisors is an integer number (495902250).

Almost surely, 2^40242112632 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 40242112632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63475488000).

40242112632 is an abundant number, since it is smaller than the sum of its proper divisors (86708863368).

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

40242112632 is a wasteful number, since it uses less digits than its factorization.

40242112632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10987 (or 10977 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40242112632 its reverse (23621124204), we get a palindrome (63863236836).

The spelling of 40242112632 in words is "forty billion, two hundred forty-two million, one hundred twelve thousand, six hundred thirty-two".