2004031340432 has 160 divisors (see below), whose sum is σ = 4660737408000. Its totient is φ = 824109465600.

The previous prime is 2004031340429. The next prime is 2004031340459. The reversal of 2004031340432 is 2340431304002.

It is a super-2 number, since 2×2004031340432² (a number of 25 digits) contains 22 as substring.

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, 13747544 + ... + 13892552.

It is an arithmetic number, because the mean of its divisors is an integer number (29129608800).

Almost surely, 2^{2004031340432} is an apocalyptic number.

2004031340432 is a gapful number since it is divisible by the number (22) 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 2004031340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330368704000).

2004031340432 is an abundant number, since it is smaller than the sum of its proper divisors (2656706067568).

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

2004031340432 is a wasteful number, since it uses less digits than its factorization.

2004031340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145225 (or 145219 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 2004031340432 its reverse (2340431304002), we get a palindrome (4344462644434).

The spelling of 2004031340432 in words is "two trillion, four billion, thirty-one million, three hundred forty thousand, four hundred thirty-two".