42256920420 has 288 divisors, whose sum is σ = 151146463104. Its totient is φ = 9421056000.

The previous prime is 42256920371. The next prime is 42256920443. The reversal of 42256920420 is 2402965224.

It is a happy number.

42256920420 is a `hidden beast` number, since 4 + 225 + 6 + 9 + 2 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7281520 + ... + 7287320.

It is an arithmetic number, because the mean of its divisors is an integer number (524814108).

Almost surely, 2^42256920420 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 42256920420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75573231552).

42256920420 is an abundant number, since it is smaller than the sum of its proper divisors (108889542684).

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

42256920420 is a wasteful number, since it uses less digits than its factorization.

42256920420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42256920420 in words is "forty-two billion, two hundred fifty-six million, nine hundred twenty thousand, four hundred twenty".