44421344352 has 1152 divisors, whose sum is σ = 180696821760. Its totient is φ = 10450944000.

The previous prime is 44421344351. The next prime is 44421344411. The reversal of 44421344352 is 25344312444.

44421344352 is a `hidden beast` number, since 4 + 4 + 4 + 213 + 4 + 435 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44421344351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 245421702 + ... + 245421882.

It is an arithmetic number, because the mean of its divisors is an integer number (156854880).

Almost surely, 2^44421344352 is an apocalyptic number.

44421344352 is a gapful number since it is divisible by the number (42) 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 44421344352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90348410880).

44421344352 is an abundant number, since it is smaller than the sum of its proper divisors (136275477408).

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

44421344352 is a wasteful number, since it uses less digits than its factorization.

44421344352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 44421344352 its reverse (25344312444), we get a palindrome (69765656796).

The spelling of 44421344352 in words is "forty-four billion, four hundred twenty-one million, three hundred forty-four thousand, three hundred fifty-two".