40105632 has 96 divisors (see below), whose sum is σ = 123645312. Its totient is φ = 11142144.

The previous prime is 40105631. The next prime is 40105643. The reversal of 40105632 is 23650104.

It is a happy number.

40105632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40105599 and 40105608.

It is not an unprimeable number, because it can be changed into a prime (40105631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24058 + ... + 25670.

It is an arithmetic number, because the mean of its divisors is an integer number (1287972).

Almost surely, 2^40105632 is an apocalyptic number.

40105632 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 40105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61822656).

40105632 is an abundant number, since it is smaller than the sum of its proper divisors (83539680).

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

40105632 is a wasteful number, since it uses less digits than its factorization.

40105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 40105632 is about 6332.9007571570. The cubic root of 40105632 is about 342.2959716872.

Adding to 40105632 its reverse (23650104), we get a palindrome (63755736).

The spelling of 40105632 in words is "forty million, one hundred five thousand, six hundred thirty-two".