40405120 has 128 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 13332480.

The previous prime is 40405117. The next prime is 40405139. The reversal of 40405120 is 2150404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 40405094 and 40405103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129765 + ... + 130075.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^40405120 is an apocalyptic number.

40405120 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 40405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

40405120 is an abundant number, since it is smaller than the sum of its proper divisors (74161280).

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

40405120 is a wasteful number, since it uses less digits than its factorization.

40405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 40405120 is about 6356.5021828046. The cubic root of 40405120 is about 343.1458890317.

Adding to 40405120 its reverse (2150404), we get a palindrome (42555524).

The spelling of 40405120 in words is "forty million, four hundred five thousand, one hundred twenty".