42120456 has 64 divisors (see below), whose sum is σ = 120835200. Its totient is φ = 11985408.

The previous prime is 42120451. The next prime is 42120479. The reversal of 42120456 is 65402124.

It is a super-3 number, since 3×42120456³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42120451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68406 + ... + 69018.

It is an arithmetic number, because the mean of its divisors is an integer number (1888050).

Almost surely, 2^42120456 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 42120456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60417600).

42120456 is an abundant number, since it is smaller than the sum of its proper divisors (78714744).

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

42120456 is a wasteful number, since it uses less digits than its factorization.

42120456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42120456 is about 6490.0274267525. The cubic root of 42120456 is about 347.9346554545.

The spelling of 42120456 in words is "forty-two million, one hundred twenty thousand, four hundred fifty-six".