4004211431220 has 192 divisors, whose sum is σ = 15053595088896. Its totient is φ = 768040542720.

The previous prime is 4004211431219. The next prime is 4004211431237. The reversal of 4004211431220 is 221341124004.

4004211431220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33275034 + ... + 33395153.

It is an arithmetic number, because the mean of its divisors is an integer number (78404141088).

Almost surely, 2^{4004211431220} is an apocalyptic number.

It is an amenable number.

4004211431220 is an abundant number, since it is smaller than the sum of its proper divisors (11049383657676).

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

4004211431220 is a wasteful number, since it uses less digits than its factorization.

4004211431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66670230 (or 66670228 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4004211431220 its reverse (221341124004), we get a palindrome (4225552555224).

The spelling of 4004211431220 in words is "four trillion, four billion, two hundred eleven million, four hundred thirty-one thousand, two hundred twenty".