42407120 has 80 divisors (see below), whose sum is σ = 115492608. Its totient is φ = 14177280.

The previous prime is 42407119. The next prime is 42407137. The reversal of 42407120 is 2170424.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 42407092 and 42407101.

It is a congruent number.

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, 22037 + ... + 23883.

Almost surely, 2^42407120 is an apocalyptic number.

42407120 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 42407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304).

42407120 is an abundant number, since it is smaller than the sum of its proper divisors (73085488).

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

42407120 is a wasteful number, since it uses less digits than its factorization.

42407120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 42407120 is about 6512.0749381438. The cubic root of 42407120 is about 348.7221977383.

Adding to 42407120 its reverse (2170424), we get a palindrome (44577544).

The spelling of 42407120 in words is "forty-two million, four hundred seven thousand, one hundred twenty".