4001504120 has 192 divisors, whose sum is σ = 10212804000. Its totient is φ = 1405983744.

The previous prime is 4001504099. The next prime is 4001504131. The reversal of 4001504120 is 214051004.

4001504120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14875346 + ... + 14875614.

Almost surely, 2^4001504120 is an apocalyptic number.

4001504120 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 4001504120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106402000).

4001504120 is an abundant number, since it is smaller than the sum of its proper divisors (6211299880).

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

4001504120 is a wasteful number, since it uses less digits than its factorization.

4001504120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4001504120 is about 63257.4431984095. The cubic root of 4001504120 is about 1587.5999971730.

Adding to 4001504120 its reverse (214051004), we get a palindrome (4215555124).

The spelling of 4001504120 in words is "four billion, one million, five hundred four thousand, one hundred twenty".