4002130214120 has 32 divisors (see below), whose sum is σ = 9534486688200. Its totient is φ = 1506684315648.

The previous prime is 4002130214113. The next prime is 4002130214123. The reversal of 4002130214120 is 214120312004.

It can be written as a sum of positive squares in 4 ways, for example, as 3741199271524 + 260930942596 = 1934218^2 + 510814^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4002130214092 and 4002130214101.

It is not an unprimeable number, because it can be changed into a prime (4002130214123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2942742125 + ... + 2942743484.

Almost surely, 2^{4002130214120} is an apocalyptic number.

4002130214120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002130214120 is an abundant number, since it is smaller than the sum of its proper divisors (5532356474080).

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

4002130214120 is a wasteful number, since it uses less digits than its factorization.

4002130214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5885485637 (or 5885485633 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4002130214120 its reverse (214120312004), we get a palindrome (4216250526124).

The spelling of 4002130214120 in words is "four trillion, two billion, one hundred thirty million, two hundred fourteen thousand, one hundred twenty".