642041202420 has 144 divisors (see below), whose sum is σ = 1953299380032. Its totient is φ = 170703936000.

The previous prime is 642041202349. The next prime is 642041202431. The reversal of 642041202420 is 24202140246.

642041202420 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 412 + 0 + 242 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213940920 + ... + 213943920.

It is an arithmetic number, because the mean of its divisors is an integer number (13564579028).

Almost surely, 2^642041202420 is an apocalyptic number.

642041202420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642041202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976649690016).

642041202420 is an abundant number, since it is smaller than the sum of its proper divisors (1311258177612).

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

642041202420 is a wasteful number, since it uses less digits than its factorization.

642041202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142 (or 6137 counting only the distinct ones).

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

Adding to 642041202420 its reverse (24202140246), we get a palindrome (666243342666).

The spelling of 642041202420 in words is "six hundred forty-two billion, forty-one million, two hundred two thousand, four hundred twenty".