4020413202144 has 96 divisors (see below), whose sum is σ = 11726757504000. Its totient is φ = 1340074611072.

The previous prime is 4020413202121. The next prime is 4020413202251. The reversal of 4020413202144 is 4412023140204.

4020413202144 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 413 + 202 + 1 + 44 = 666.

4020413202144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20481937 + ... + 20677295.

It is an arithmetic number, because the mean of its divisors is an integer number (122153724000).

Almost surely, 2^{4020413202144} is an apocalyptic number.

It is an amenable number.

4020413202144 is an abundant number, since it is smaller than the sum of its proper divisors (7706344301856).

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

4020413202144 is a wasteful number, since it uses less digits than its factorization.

4020413202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219197 (or 219183 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4020413202144 its reverse (4412023140204), we get a palindrome (8432436342348).

The spelling of 4020413202144 in words is "four trillion, twenty billion, four hundred thirteen million, two hundred two thousand, one hundred forty-four".