42162460704 has 432 divisors, whose sum is σ = 151593990912. Its totient is φ = 10879045632.

The previous prime is 42162460651. The next prime is 42162460727. The reversal of 42162460704 is 40706426124.

42162460704 is a `hidden beast` number, since 4 + 21 + 6 + 24 + 607 + 0 + 4 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16011772 + ... + 16014404.

It is an arithmetic number, because the mean of its divisors is an integer number (350912016).

Almost surely, 2^42162460704 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 42162460704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75796995456).

42162460704 is an abundant number, since it is smaller than the sum of its proper divisors (109431530208).

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

42162460704 is a wasteful number, since it uses less digits than its factorization.

42162460704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 42162460704 its reverse (40706426124), we get a palindrome (82868886828).

The spelling of 42162460704 in words is "forty-two billion, one hundred sixty-two million, four hundred sixty thousand, seven hundred four".