4412356532144 has 120 divisors (see below), whose sum is σ = 9636240439056. Its totient is φ = 1954707955200.

The previous prime is 4412356532141. The next prime is 4412356532179.

4412356532144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4412356532095 and 4412356532104.

It is not an unprimeable number, because it can be changed into a prime (4412356532141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38319842 + ... + 38434814.

Almost surely, 2^{4412356532144} is an apocalyptic number.

4412356532144 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 4412356532144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818120219528).

4412356532144 is an abundant number, since it is smaller than the sum of its proper divisors (5223883906912).

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

4412356532144 is a wasteful number, since it uses less digits than its factorization.

4412356532144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115507 (or 115490 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 44.

The spelling of 4412356532144 in words is "four trillion, four hundred twelve billion, three hundred fifty-six million, five hundred thirty-two thousand, one hundred forty-four".