4004125032330 has 96 divisors (see below), whose sum is σ = 10865847358080. Its totient is φ = 1021108682880.

The previous prime is 4004125032311. The next prime is 4004125032331. The reversal of 4004125032330 is 332305214004.

4004125032330 is a `hidden beast` number, since 40 + 0 + 41 + 250 + 3 + 2 + 330 = 666.

4004125032330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4004125032294 and 4004125032303.

It is not an unprimeable number, because it can be changed into a prime (4004125032331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8932701 + ... + 9370239.

It is an arithmetic number, because the mean of its divisors is an integer number (113185909980).

Almost surely, 2^{4004125032330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004125032330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432923679040).

4004125032330 is an abundant number, since it is smaller than the sum of its proper divisors (6861722325750).

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

4004125032330 is a wasteful number, since it uses less digits than its factorization.

4004125032330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441996 (or 441993 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 4004125032330 in words is "four trillion, four billion, one hundred twenty-five million, thirty-two thousand, three hundred thirty".