42240211204224 has 64 divisors (see below), whose sum is σ = 122400612024480. Its totient is φ = 12800064000000.

The previous prime is 42240211204211. The next prime is 42240211204237.

42240211204224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42240211204211) and next prime (42240211204237).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 42240211204191 and 42240211204200.

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, 5000020777 + ... + 5000029224.

Almost surely, 2^{42240211204224} is an apocalyptic number.

42240211204224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42240211204224 is an abundant number, since it is smaller than the sum of its proper divisors (80160400820256).

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

42240211204224 is a wasteful number, since it uses less digits than its factorization.

42240211204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000050029 (or 10000050017 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4224021 and 1204224, that added together give a palindrome (5428245).

The spelling of 42240211204224 in words is "forty-two trillion, two hundred forty billion, two hundred eleven million, two hundred four thousand, two hundred twenty-four".