42144256 has 80 divisors (see below), whose sum is σ = 105082560. Its totient is φ = 16404480.

The previous prime is 42144253. The next prime is 42144293. The reversal of 42144256 is 65244124.

It is a super-2 number, since 2×42144256² = 3552276627587072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (42144253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38890 + ... + 39958.

It is an arithmetic number, because the mean of its divisors is an integer number (1313532).

Almost surely, 2^42144256 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 42144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52541280).

42144256 is an abundant number, since it is smaller than the sum of its proper divisors (62938304).

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

42144256 is a wasteful number, since it uses less digits than its factorization.

42144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1089 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 42144256 is about 6491.8607502010. The cubic root of 42144256 is about 348.0001761570. Note that the first 3 decimals are identical.

The spelling of 42144256 in words is "forty-two million, one hundred forty-four thousand, two hundred fifty-six".