442420011201420 has 576 divisors, whose sum is σ = 1644117426072576. Its totient is φ = 93994461020160.

The previous prime is 442420011201407. The next prime is 442420011201433. The reversal of 442420011201420 is 24102110024244.

442420011201420 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 20 + 0 + 11 + 201 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (442420011201407) and next prime (442420011201433).

It is a super-2 number, since 2×442420011201420² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4937072415 + ... + 4937162025.

It is an arithmetic number, because the mean of its divisors is an integer number (2854370531376).

Almost surely, 2^{442420011201420} 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 442420011201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822058713036288).

442420011201420 is an abundant number, since it is smaller than the sum of its proper divisors (1201697414871156).

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

442420011201420 is a wasteful number, since it uses less digits than its factorization.

442420011201420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92510 (or 92505 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 442420011201420 its reverse (24102110024244), we get a palindrome (466522121225664).

The spelling of 442420011201420 in words is "four hundred forty-two trillion, four hundred twenty billion, eleven million, two hundred one thousand, four hundred twenty".