44056145430 has 224 divisors, whose sum is σ = 131184658080. Its totient is φ = 10558563840.

The previous prime is 44056145429. The next prime is 44056145437. The reversal of 44056145430 is 3454165044.

44056145430 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 614 + 5 + 4 + 30 = 666.

44056145430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44056145437) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7133824 + ... + 7139996.

It is an arithmetic number, because the mean of its divisors is an integer number (585645795).

Almost surely, 2^44056145430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44056145430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65592329040).

44056145430 is an abundant number, since it is smaller than the sum of its proper divisors (87128512650).

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

44056145430 is a wasteful number, since it uses less digits than its factorization.

44056145430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 44056145430 in words is "forty-four billion, fifty-six million, one hundred forty-five thousand, four hundred thirty".