40414560 has 96 divisors (see below), whose sum is σ = 128187360. Its totient is φ = 10702848.

The previous prime is 40414553. The next prime is 40414571. The reversal of 40414560 is 6541404.

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 40414560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128964 + ... + 129276.

It is an arithmetic number, because the mean of its divisors is an integer number (1335285).

Almost surely, 2^40414560 is an apocalyptic number.

40414560 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 40414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64093680).

40414560 is an abundant number, since it is smaller than the sum of its proper divisors (87772800).

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

40414560 is a wasteful number, since it uses less digits than its factorization.

40414560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 40414560 is about 6357.2446861828. The cubic root of 40414560 is about 343.1726104386.

Adding to 40414560 its reverse (6541404), we get a palindrome (46955964).

The spelling of 40414560 in words is "forty million, four hundred fourteen thousand, five hundred sixty".