42491520 has 128 divisors (see below), whose sum is σ = 150552000. Its totient is φ = 11326464.

The previous prime is 42491513. The next prime is 42491549. The reversal of 42491520 is 2519424.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 16051 + ... + 18509.

Almost surely, 2^42491520 is an apocalyptic number.

42491520 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 42491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75276000).

42491520 is an abundant number, since it is smaller than the sum of its proper divisors (108060480).

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

42491520 is a wasteful number, since it uses less digits than its factorization.

42491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42491520 is about 6518.5519864461. The cubic root of 42491520 is about 348.9533904362.

The spelling of 42491520 in words is "forty-two million, four hundred ninety-one thousand, five hundred twenty".