42560000 has 200 divisors, whose sum is σ = 127834080. Its totient is φ = 13824000.

The previous prime is 42559997. The next prime is 42560017. The reversal of 42560000 is 6524.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×42560000² = 3622707200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2239991 + ... + 2240009.

Almost surely, 2^42560000 is an apocalyptic number.

42560000 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 42560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63917040).

42560000 is an abundant number, since it is smaller than the sum of its proper divisors (85274080).

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

42560000 is an frugal number, since it uses more digits than its factorization.

42560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 42560000 is about 6523.8025721200. The cubic root of 42560000 is about 349.1407494074.

Adding to 42560000 its reverse (6524), we get a palindrome (42566524).

It can be divided in two parts, 4 and 2560000, that multiplied together give a square (10240000 = 3200²).

The spelling of 42560000 in words is "forty-two million, five hundred sixty thousand".