44484870144 has 240 divisors, whose sum is σ = 139382953920. Its totient is φ = 12441354240.

The previous prime is 44484870137. The next prime is 44484870149. The reversal of 44484870144 is 44107848444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 44484870093 and 44484870102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44484870149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7025572 + ... + 7031900.

It is an arithmetic number, because the mean of its divisors is an integer number (580762308).

Almost surely, 2^44484870144 is an apocalyptic number.

44484870144 is a gapful number since it is divisible by the number (44) 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 44484870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69691476960).

44484870144 is an abundant number, since it is smaller than the sum of its proper divisors (94898083776).

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

44484870144 is a wasteful number, since it uses less digits than its factorization.

44484870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6384 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 48.

It can be divided in two parts, 44484 and 870144, that added together give a triangular number (914628 = T₁₃₅₂).

The spelling of 44484870144 in words is "forty-four billion, four hundred eighty-four million, eight hundred seventy thousand, one hundred forty-four".