4004511040 has 56 divisors (see below), whose sum is σ = 9548667720. Its totient is φ = 1599633408.

The previous prime is 4004511019. The next prime is 4004511053. The reversal of 4004511040 is 401154004.

It can be written as a sum of positive squares in 4 ways, for example, as 8248384 + 3996262656 = 2872^2 + 63216^2 .

It is a super-2 number, since 2×4004511040² = 32072217338963763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4004510999 and 4004511017.

It is a congruent number.

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, 239266 + ... + 255454.

Almost surely, 2^4004511040 is an apocalyptic number.

4004511040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004511040 is an abundant number, since it is smaller than the sum of its proper divisors (5544156680).

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

4004511040 is a wasteful number, since it uses less digits than its factorization.

4004511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16979 (or 16969 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4004511040 is about 63281.2060567749. The cubic root of 4004511040 is about 1587.9975635872.

Adding to 4004511040 its reverse (401154004), we get a palindrome (4405665044).

The spelling of 4004511040 in words is "four billion, four million, five hundred eleven thousand, forty".