40632416 has 48 divisors (see below), whose sum is σ = 88315920. Its totient is φ = 18247680.

The previous prime is 40632409. The next prime is 40632433. The reversal of 40632416 is 61423604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30680 + ... + 31976.

It is an arithmetic number, because the mean of its divisors is an integer number (1839915).

Almost surely, 2^40632416 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 40632416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44157960).

40632416 is an abundant number, since it is smaller than the sum of its proper divisors (47683504).

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

40632416 is a wasteful number, since it uses less digits than its factorization.

40632416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 40632416 is about 6374.3561243470. The cubic root of 40632416 is about 343.7881334665.

The spelling of 40632416 in words is "forty million, six hundred thirty-two thousand, four hundred sixteen".