42413322420 has 144 divisors (see below), whose sum is σ = 148155815808. Its totient is φ = 9620432640.

The previous prime is 42413322401. The next prime is 42413322449. The reversal of 42413322420 is 2422331424.

42413322420 is a `hidden beast` number, since 4 + 2 + 413 + 3 + 2 + 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, 36582 + ... + 293538.

It is an arithmetic number, because the mean of its divisors is an integer number (1028859832).

Almost surely, 2^42413322420 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 42413322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74077907904).

42413322420 is an abundant number, since it is smaller than the sum of its proper divisors (105742493388).

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

42413322420 is a wasteful number, since it uses less digits than its factorization.

42413322420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257110 (or 257105 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42413322420 its reverse (2422331424), we get a palindrome (44835653844).

The spelling of 42413322420 in words is "forty-two billion, four hundred thirteen million, three hundred twenty-two thousand, four hundred twenty".