44083986972480 has 5376 divisors, whose sum is σ = 212047165440000. Its totient is φ = 8592292380672.

The previous prime is 44083986972419. The next prime is 44083986972583. The reversal of 44083986972480 is 8427968938044.

44083986972480 is a `hidden beast` number, since 4 + 4 + 0 + 83 + 9 + 8 + 69 + 7 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 44083986972399 and 44083986972408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 495325696276 + ... + 495325696364.

Almost surely, 2^{44083986972480} is an apocalyptic number.

44083986972480 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 44083986972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106023582720000).

44083986972480 is an abundant number, since it is smaller than the sum of its proper divisors (167963178467520).

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

44083986972480 is a wasteful number, since it uses less digits than its factorization.

44083986972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 44083986972480 in words is "forty-four trillion, eighty-three billion, nine hundred eighty-six million, nine hundred seventy-two thousand, four hundred eighty".