40732416 has 144 divisors (see below), whose sum is σ = 123621120. Its totient is φ = 13224960.

The previous prime is 40732411. The next prime is 40732423. The reversal of 40732416 is 61423704.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40732416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40732411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490711 + ... + 490793.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 2^40732416 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 40732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61810560).

40732416 is an abundant number, since it is smaller than the sum of its proper divisors (82888704).

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

40732416 is an equidigital number, since it uses as much as digits as its factorization.

40732416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 40732416 is about 6382.1952336167. The cubic root of 40732416 is about 344.0699335014.

It can be divided in two parts, 407 and 32416, that added together give a palindrome (32823).

The spelling of 40732416 in words is "forty million, seven hundred thirty-two thousand, four hundred sixteen".