40414320 has 60 divisors (see below), whose sum is σ = 135727176. Its totient is φ = 10776960.

The previous prime is 40414303. The next prime is 40414327. The reversal of 40414320 is 2341404.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×40414320² = 3266634522124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40414293 and 40414302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40414327) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27346 + ... + 28785.

Almost surely, 2^40414320 is an apocalyptic number.

40414320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40414320 is an abundant number, since it is smaller than the sum of its proper divisors (95312856).

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

40414320 is a wasteful number, since it uses less digits than its factorization.

40414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56150 (or 56141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40414320 is about 6357.2258100527. The cubic root of 40414320 is about 343.1719311323.

Adding to 40414320 its reverse (2341404), we get a palindrome (42755724).

The spelling of 40414320 in words is "forty million, four hundred fourteen thousand, three hundred twenty".