44229300480 has 576 divisors, whose sum is σ = 166545120000. Its totient is φ = 11083972608.

The previous prime is 44229300473. The next prime is 44229300487. The reversal of 44229300480 is 8400392244.

It is an interprime number because it is at equal distance from previous prime (44229300473) and next prime (44229300487).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (44229300487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126731346 + ... + 126731694.

Almost surely, 2^44229300480 is an apocalyptic number.

44229300480 is a gapful number since it is divisible by the number (40) 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 44229300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83272560000).

44229300480 is an abundant number, since it is smaller than the sum of its proper divisors (122315819520).

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

44229300480 is a wasteful number, since it uses less digits than its factorization.

44229300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 44229300480 in words is "forty-four billion, two hundred twenty-nine million, three hundred thousand, four hundred eighty".