42561792 has 324 divisors, whose sum is σ = 159033420. Its totient is φ = 10838016.

The previous prime is 42561773. The next prime is 42561793. The reversal of 42561792 is 29716524.

42561792 is a `hidden beast` number, since 4 + 2 + 561 + 7 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 28901376 = 3696^2 + 5376^2 .

It is a super-2 number, since 2×42561792² = 3623012276502528, which contains 22 as substring.

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (42561793) 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, 1467634 + ... + 1467662.

Almost surely, 2^42561792 is an apocalyptic number.

42561792 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 42561792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79516710).

42561792 is an abundant number, since it is smaller than the sum of its proper divisors (116471628).

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

42561792 is a wasteful number, since it uses less digits than its factorization.

42561792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 42561792 is about 6523.9399138864. The cubic root of 42561792 is about 349.1456495597.

The spelling of 42561792 in words is "forty-two million, five hundred sixty-one thousand, seven hundred ninety-two".