42563040 has 192 divisors, whose sum is σ = 152409600. Its totient is φ = 9897984.

The previous prime is 42563029. The next prime is 42563047. The reversal of 42563040 is 4036524.

It is a super-2 number, since 2×42563040² = 3623224748083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42563040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42563047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118381 + ... + 118739.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^42563040 is an apocalyptic number.

42563040 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 42563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

42563040 is an abundant number, since it is smaller than the sum of its proper divisors (109846560).

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

42563040 is a wasteful number, since it uses less digits than its factorization.

42563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42563040 is about 6524.0355609086. The cubic root of 42563040 is about 349.1490620845.

Adding to 42563040 its reverse (4036524), we get a palindrome (46599564).

The spelling of 42563040 in words is "forty-two million, five hundred sixty-three thousand, forty".