4004102310032 has 160 divisors (see below), whose sum is σ = 9199931166720. Its totient is φ = 1669661312000.

The previous prime is 4004102310029. The next prime is 4004102310041. The reversal of 4004102310032 is 2300132014004.

It is a junction number, because it is equal to n+sod(n) for n = 4004102309986 and 4004102310013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9587657 + ... + 9996567.

It is an arithmetic number, because the mean of its divisors is an integer number (57499569792).

Almost surely, 2^{4004102310032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004102310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599965583360).

4004102310032 is an abundant number, since it is smaller than the sum of its proper divisors (5195828856688).

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

4004102310032 is a wasteful number, since it uses less digits than its factorization.

4004102310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409053 (or 409047 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4004102310032 its reverse (2300132014004), we get a palindrome (6304234324036).

It can be divided in two parts, 4004102 and 310032, that added together give a palindrome (4314134).

The spelling of 4004102310032 in words is "four trillion, four billion, one hundred two million, three hundred ten thousand, thirty-two".