4004032480 has 96 divisors (see below), whose sum is σ = 10959205824. Its totient is φ = 1353977856.

The previous prime is 4004032477. The next prime is 4004032547. The reversal of 4004032480 is 842304004.

It is a super-2 number, since 2×4004032480² = 32064552201789900800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57274 + ... + 106246.

It is an arithmetic number, because the mean of its divisors is an integer number (114158394).

Almost surely, 2^4004032480 is an apocalyptic number.

4004032480 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 4004032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5479602912).

4004032480 is an abundant number, since it is smaller than the sum of its proper divisors (6955173344).

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

4004032480 is a wasteful number, since it uses less digits than its factorization.

4004032480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49068 (or 49060 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4004032480 is about 63277.4247263588. The cubic root of 4004032480 is about 1587.9343030641.

Adding to 4004032480 its reverse (842304004), we get a palindrome (4846336484).

The spelling of 4004032480 in words is "four billion, four million, thirty-two thousand, four hundred eighty".