4042402311420 has 288 divisors, whose sum is σ = 14275079110656. Its totient is φ = 915067238400.

The previous prime is 4042402311331. The next prime is 4042402311473. The reversal of 4042402311420 is 241132042404.

4042402311420 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 4 + 0 + 231 + 1 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3802005 + ... + 4747635.

It is an arithmetic number, because the mean of its divisors is an integer number (49566246912).

Almost surely, 2^{4042402311420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042402311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137539555328).

4042402311420 is an abundant number, since it is smaller than the sum of its proper divisors (10232676799236).

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

4042402311420 is a wasteful number, since it uses less digits than its factorization.

4042402311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945801 (or 945796 counting only the distinct ones).

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

Adding to 4042402311420 its reverse (241132042404), we get a palindrome (4283534353824).

The spelling of 4042402311420 in words is "four trillion, forty-two billion, four hundred two million, three hundred eleven thousand, four hundred twenty".