44212411421244 has 144 divisors (see below), whose sum is σ = 125222201840736. Its totient is φ = 13034765721600.

The previous prime is 44212411421237. The next prime is 44212411421257.

44212411421244 is a `hidden beast` number, since 4 + 4 + 21 + 2 + 411 + 4 + 212 + 4 + 4 = 666.

44212411421244 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×44212411421244³ (a number of 42 digits) contains 333 as substring.

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 junction number, because it is equal to n+sod(n) for n = 44212411421199 and 44212411421208.

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, 251003284 + ... + 251179364.

It is an arithmetic number, because the mean of its divisors is an integer number (869598623894).

Almost surely, 2^{44212411421244} is an apocalyptic number.

44212411421244 is a gapful number since it is divisible by the number (44) 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 44212411421244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62611100920368).

44212411421244 is an abundant number, since it is smaller than the sum of its proper divisors (81009790419492).

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

44212411421244 is a wasteful number, since it uses less digits than its factorization.

44212411421244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193276 (or 193271 counting only the distinct ones).

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

It can be divided in two parts, 4421241 and 1421244, that added together give a palindrome (5842485).

The spelling of 44212411421244 in words is "forty-four trillion, two hundred twelve billion, four hundred eleven million, four hundred twenty-one thousand, two hundred forty-four".