42401520 has 240 divisors, whose sum is σ = 167132160. Its totient is φ = 9432576.

The previous prime is 42401501. The next prime is 42401531. The reversal of 42401520 is 2510424.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 42401493 and 42401502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236791 + ... + 236969.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^42401520 is an apocalyptic number.

42401520 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 42401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

42401520 is an abundant number, since it is smaller than the sum of its proper divisors (124730640).

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

42401520 is a wasteful number, since it uses less digits than its factorization.

42401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

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

The square root of 42401520 is about 6511.6449534661. The cubic root of 42401520 is about 348.7068470906.

Adding to 42401520 its reverse (2510424), we get a palindrome (44911944).

The spelling of 42401520 in words is "forty-two million, four hundred one thousand, five hundred twenty".