44214263424 has 240 divisors, whose sum is σ = 138882489570. Its totient is φ = 13961217024.

The previous prime is 44214263419. The next prime is 44214263437. The reversal of 44214263424 is 42436241244.

44214263424 is a `hidden beast` number, since 4 + 4 + 2 + 14 + 2 + 634 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39346689600 + 4867573824 = 198360^2 + 69768^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3736942 + ... + 3748754.

Almost surely, 2^44214263424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44214263424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69441244785).

44214263424 is an abundant number, since it is smaller than the sum of its proper divisors (94668226146).

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

44214263424 is a wasteful number, since it uses less digits than its factorization.

44214263424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11877 (or 11837 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 44214263424 in words is "forty-four billion, two hundred fourteen million, two hundred sixty-three thousand, four hundred twenty-four".