42447120 has 80 divisors (see below), whose sum is σ = 132580800. Its totient is φ = 11233792.

The previous prime is 42447101. The next prime is 42447131. The reversal of 42447120 is 2174424.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35167 + ... + 36353.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260).

Almost surely, 2^42447120 is an apocalyptic number.

42447120 is a gapful number since it is divisible by the number (40) 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 42447120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66290400).

42447120 is an abundant number, since it is smaller than the sum of its proper divisors (90133680).

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

42447120 is a wasteful number, since it uses less digits than its factorization.

42447120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 42447120 is about 6515.1454319915. The cubic root of 42447120 is about 348.8318059401.

The spelling of 42447120 in words is "forty-two million, four hundred forty-seven thousand, one hundred twenty".