42211444411224 has 192 divisors, whose sum is σ = 131210384366880. Its totient is φ = 12142082304000.

The previous prime is 42211444411163. The next prime is 42211444411271.

42211444411224 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 14 + 4 + 4 + 411 + 224 = 666.

42211444411224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16365207 + ... + 18768134.

Almost surely, 2^{42211444411224} is an apocalyptic number.

42211444411224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42211444411224 is an abundant number, since it is smaller than the sum of its proper divisors (88998939955656).

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

42211444411224 is a wasteful number, since it uses less digits than its factorization.

42211444411224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35133442 (or 35133435 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 4221144 and 4411224, that added together give a palindrome (8632368).

The spelling of 42211444411224 in words is "forty-two trillion, two hundred eleven billion, four hundred forty-four million, four hundred eleven thousand, two hundred twenty-four".