4001404520 has 32 divisors (see below), whose sum is σ = 9031952520. Its totient is φ = 1595443200.

The previous prime is 4001404501. The next prime is 4001404571. The reversal of 4001404520 is 254041004.

It can be written as a sum of positive squares in 4 ways, for example, as 1191768484 + 2809636036 = 34522^2 + 53006^2 .

It is a super-2 number, since 2×4001404520² = 32022476265352860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4001404492 and 4001404501.

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, 147281 + ... + 172320.

Almost surely, 2^4001404520 is an apocalyptic number.

4001404520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001404520 is an abundant number, since it is smaller than the sum of its proper divisors (5030548000).

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

4001404520 is a wasteful number, since it uses less digits than its factorization.

4001404520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319925 (or 319921 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4001404520 is about 63256.6559343758. The cubic root of 4001404520 is about 1587.5868249369.

Adding to 4001404520 its reverse (254041004), we get a palindrome (4255445524).

The spelling of 4001404520 in words is "four billion, one million, four hundred four thousand, five hundred twenty".