4002034120 has 64 divisors (see below), whose sum is σ = 10301760000. Its totient is φ = 1370684160.

The previous prime is 4002034111. The next prime is 4002034121. The reversal of 4002034120 is 214302004.

It is a junction number, because it is equal to n+sod(n) for n = 4002034094 and 4002034103.

It is not an unprimeable number, because it can be changed into a prime (4002034121) 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, 278881 + ... + 292879.

It is an arithmetic number, because the mean of its divisors is an integer number (160965000).

Almost surely, 2^4002034120 is an apocalyptic number.

4002034120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002034120 is an abundant number, since it is smaller than the sum of its proper divisors (6299725880).

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

4002034120 is a wasteful number, since it uses less digits than its factorization.

4002034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15038 (or 15034 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4002034120 is about 63261.6322900382. The cubic root of 4002034120 is about 1587.6700867216.

Adding to 4002034120 its reverse (214302004), we get a palindrome (4216336124).

The spelling of 4002034120 in words is "four billion, two million, thirty-four thousand, one hundred twenty".