4001214030120 has 48 divisors (see below), whose sum is σ = 13003945599060. Its totient is φ = 1066990407936.

The previous prime is 4001214030103. The next prime is 4001214030193. The reversal of 4001214030120 is 210304121004.

4001214030120 is a `hidden beast` number, since 400 + 1 + 2 + 140 + 3 + 0 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3939835949604 + 61378080516 = 1984902^2 + 247746^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4001214030093 and 4001214030102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5557241349 + ... + 5557242068.

Almost surely, 2^{4001214030120} is an apocalyptic number.

4001214030120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001214030120 is an abundant number, since it is smaller than the sum of its proper divisors (9002731568940).

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

4001214030120 is a wasteful number, since it uses less digits than its factorization.

4001214030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11114483434 (or 11114483427 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4001214030120 its reverse (210304121004), we get a palindrome (4211518151124).

The spelling of 4001214030120 in words is "four trillion, one billion, two hundred fourteen million, thirty thousand, one hundred twenty".