4015404160 has 64 divisors (see below), whose sum is σ = 9610083000. Its totient is φ = 1604362240.

The previous prime is 4015404139. The next prime is 4015404209. The reversal of 4015404160 is 614045104.

It can be written as a sum of positive squares in 4 ways, for example, as 2967198784 + 1048205376 = 54472^2 + 32376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4015404160² = 32246941136290611200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 668370 + ... + 674350.

Almost surely, 2^4015404160 is an apocalyptic number.

4015404160 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 4015404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805041500).

4015404160 is an abundant number, since it is smaller than the sum of its proper divisors (5594678840).

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

4015404160 is a wasteful number, since it uses less digits than its factorization.

4015404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7049 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4015404160 is about 63367.2167607194. The cubic root of 4015404160 is about 1589.4361567587.

Adding to 4015404160 its reverse (614045104), we get a palindrome (4629449264).

The spelling of 4015404160 in words is "four billion, fifteen million, four hundred four thousand, one hundred sixty".