42475120 has 40 divisors (see below), whose sum is σ = 99681120. Its totient is φ = 16830720.

The previous prime is 42475109. The next prime is 42475141. The reversal of 42475120 is 2157424.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6285 + ... + 11155.

It is an arithmetic number, because the mean of its divisors is an integer number (2492028).

Almost surely, 2^42475120 is an apocalyptic number.

42475120 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 42475120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49840560).

42475120 is an abundant number, since it is smaller than the sum of its proper divisors (57206000).

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

42475120 is a wasteful number, since it uses less digits than its factorization.

42475120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 42475120 is about 6517.2939169566. The cubic root of 42475120 is about 348.9084907164.

The spelling of 42475120 in words is "forty-two million, four hundred seventy-five thousand, one hundred twenty".