44302120224432 has 160 divisors (see below), whose sum is σ = 137700148531200. Its totient is φ = 11989863938304.

The previous prime is 44302120224317. The next prime is 44302120224469. The reversal of 44302120224432 is 23442202120344.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44302120224393 and 44302120224402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45218383 + ... + 46187729.

It is an arithmetic number, because the mean of its divisors is an integer number (860625928320).

Almost surely, 2^{44302120224432} is an apocalyptic number.

44302120224432 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 44302120224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68850074265600).

44302120224432 is an abundant number, since it is smaller than the sum of its proper divisors (93398028306768).

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

44302120224432 is a wasteful number, since it uses less digits than its factorization.

44302120224432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976543 (or 976537 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 44302120224432 its reverse (23442202120344), we get a palindrome (67744322344776).

The spelling of 44302120224432 in words is "forty-four trillion, three hundred two billion, one hundred twenty million, two hundred twenty-four thousand, four hundred thirty-two".