42162192072 has 768 divisors, whose sum is σ = 160619397120. Its totient is φ = 9638092800.

The previous prime is 42162192071. The next prime is 42162192091. The reversal of 42162192072 is 27029126124.

42162192072 is a `hidden beast` number, since 4 + 2 + 1 + 621 + 9 + 20 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42162192071) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 252468133 + ... + 252468299.

It is an arithmetic number, because the mean of its divisors is an integer number (209139840).

Almost surely, 2^42162192072 is an apocalyptic number.

42162192072 is a gapful number since it is divisible by the number (42) 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 42162192072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80309698560).

42162192072 is an abundant number, since it is smaller than the sum of its proper divisors (118457205048).

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

42162192072 is a wasteful number, since it uses less digits than its factorization.

42162192072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 42162192072 in words is "forty-two billion, one hundred sixty-two million, one hundred ninety-two thousand, seventy-two".