40388544 has 252 divisors, whose sum is σ = 142289784. Its totient is φ = 11321856.

The previous prime is 40388519. The next prime is 40388599. The reversal of 40388544 is 44588304.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40388499 and 40388508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 762022 + ... + 762074.

It is an arithmetic number, because the mean of its divisors is an integer number (564642).

Almost surely, 2^40388544 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 40388544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71144892).

40388544 is an abundant number, since it is smaller than the sum of its proper divisors (101901240).

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

40388544 is an equidigital number, since it uses as much as digits as its factorization.

40388544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 40388544 is about 6355.1981873109. The cubic root of 40388544 is about 343.0989579806.

The spelling of 40388544 in words is "forty million, three hundred eighty-eight thousand, five hundred forty-four".