40753440 has 288 divisors, whose sum is σ = 171714816. Its totient is φ = 8570880.

The previous prime is 40753421. The next prime is 40753441. The reversal of 40753440 is 4435704.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40753441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130885 + ... + 131195.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 2^40753440 is an apocalyptic number.

40753440 is a gapful number since it is divisible by the number (40) 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 40753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85857408).

40753440 is an abundant number, since it is smaller than the sum of its proper divisors (130961376).

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

40753440 is a wasteful number, since it uses less digits than its factorization.

40753440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 40753440 is about 6383.8421033105. The cubic root of 40753440 is about 344.1291204487.

The spelling of 40753440 in words is "forty million, seven hundred fifty-three thousand, four hundred forty".