40705440 has 96 divisors (see below), whose sum is σ = 129366720. Its totient is φ = 10758144.

The previous prime is 40705421. The next prime is 40705453. The reversal of 40705440 is 4450704.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40705440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65451 + ... + 66069.

It is an arithmetic number, because the mean of its divisors is an integer number (1347570).

Almost surely, 2^40705440 is an apocalyptic number.

40705440 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 40705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64683360).

40705440 is an abundant number, since it is smaller than the sum of its proper divisors (88661280).

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

40705440 is a wasteful number, since it uses less digits than its factorization.

40705440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 40705440 is about 6380.0815041816. The cubic root of 40705440 is about 343.9939605934.

The spelling of 40705440 in words is "forty million, seven hundred five thousand, four hundred forty".