42226561436560 has 40 divisors (see below), whose sum is σ = 98779066752960. Its totient is φ = 16787001105792.

The previous prime is 42226561436551. The next prime is 42226561436581. The reversal of 42226561436560 is 6563416562224.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×42226561436560³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42226561436498 and 42226561436507.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1619103580 + ... + 1619129659.

It is an arithmetic number, because the mean of its divisors is an integer number (2469476668824).

Almost surely, 2^{42226561436560} is an apocalyptic number.

42226561436560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42226561436560 is an abundant number, since it is smaller than the sum of its proper divisors (56552505316400).

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

42226561436560 is a wasteful number, since it uses less digits than its factorization.

42226561436560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238233415 (or 3238233409 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 52.

Adding to 42226561436560 its reverse (6563416562224), we get a palindrome (48789977998784).

The spelling of 42226561436560 in words is "forty-two trillion, two hundred twenty-six billion, five hundred sixty-one million, four hundred thirty-six thousand, five hundred sixty".