4004120024334 has 32 divisors (see below), whose sum is σ = 8899023075840. Its totient is φ = 1334559888216.

The previous prime is 4004120024327. The next prime is 4004120024339. The reversal of 4004120024334 is 4334200214004.

It is a happy number.

4004120024334 is a `hidden beast` number, since 4 + 0 + 0 + 412 + 0 + 0 + 243 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4004120024298 and 4004120024307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004120024339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3581292 + ... + 4564415.

It is an arithmetic number, because the mean of its divisors is an integer number (278094471120).

Almost surely, 2^{4004120024334} is an apocalyptic number.

4004120024334 is an abundant number, since it is smaller than the sum of its proper divisors (4894903051506).

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

4004120024334 is a wasteful number, since it uses less digits than its factorization.

4004120024334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8154821 (or 8154815 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4004120024334 its reverse (4334200214004), we get a palindrome (8338320238338).

The spelling of 4004120024334 in words is "four trillion, four billion, one hundred twenty million, twenty-four thousand, three hundred thirty-four".