42405120 has 180 divisors, whose sum is σ = 152104260. Its totient is φ = 11280384.

The previous prime is 42405113. The next prime is 42405127. The reversal of 42405120 is 2150424.

It is an interprime number because it is at equal distance from previous prime (42405113) and next prime (42405127).

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 14017536 = 5328^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42405093 and 42405102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42405127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103476 + ... + 103884.

Almost surely, 2^42405120 is an apocalyptic number.

42405120 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 42405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76052130).

42405120 is an abundant number, since it is smaller than the sum of its proper divisors (109699140).

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

42405120 is an equidigital number, since it uses as much as digits as its factorization.

42405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42405120 is about 6511.9213754467. The cubic root of 42405120 is about 348.7167155193.

Adding to 42405120 its reverse (2150424), we get a palindrome (44555544).

The spelling of 42405120 in words is "forty-two million, four hundred five thousand, one hundred twenty".