464420406042 has 72 divisors (see below), whose sum is σ = 1044419977692. Its totient is φ = 149130720000.

The previous prime is 464420406031. The next prime is 464420406049. The reversal of 464420406042 is 240604024464.

464420406042 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 2 + 0 + 40 + 604 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 457826803641 + 6593602401 = 676629^2 + 81201^2 .

It is a junction number, because it is equal to n+sod(n) for n = 464420405988 and 464420406006.

It is not an unprimeable number, because it can be changed into a prime (464420406049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2395542 + ... + 2582142.

Almost surely, 2^464420406042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464420406042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522209988846).

464420406042 is an abundant number, since it is smaller than the sum of its proper divisors (579999571650).

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

464420406042 is a wasteful number, since it uses less digits than its factorization.

464420406042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186784 (or 186744 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 464420406042 in words is "four hundred sixty-four billion, four hundred twenty million, four hundred six thousand, forty-two".