4081405440 has 480 divisors, whose sum is σ = 15603287040. Its totient is φ = 891371520.

The previous prime is 4081405439. The next prime is 4081405457. The reversal of 4081405440 is 445041804.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4081405398 and 4081405407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51663321 + ... + 51663399.

It is an arithmetic number, because the mean of its divisors is an integer number (32506848).

Almost surely, 2^4081405440 is an apocalyptic number.

4081405440 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 4081405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801643520).

4081405440 is an abundant number, since it is smaller than the sum of its proper divisors (11521881600).

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

4081405440 is an equidigital number, since it uses as much as digits as its factorization.

4081405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 4081405440 is about 63885.8782517702. The cubic root of 4081405440 is about 1598.0974051464.

The spelling of 4081405440 in words is "four billion, eighty-one million, four hundred five thousand, four hundred forty".