42410027520 has 1280 divisors, whose sum is σ = 186296647680. Its totient is φ = 8934064128.

The previous prime is 42410027447. The next prime is 42410027537. The reversal of 42410027520 is 2572001424.

42410027520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×42410027520² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 411747789 + ... + 411747891.

It is an arithmetic number, because the mean of its divisors is an integer number (145544256).

Almost surely, 2^42410027520 is an apocalyptic number.

42410027520 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 42410027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93148323840).

42410027520 is an abundant number, since it is smaller than the sum of its proper divisors (143886620160).

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

42410027520 is a wasteful number, since it uses less digits than its factorization.

42410027520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 42410027520 its reverse (2572001424), we get a palindrome (44982028944).

The spelling of 42410027520 in words is "forty-two billion, four hundred ten million, twenty-seven thousand, five hundred twenty".