4429485096960 has 1920 divisors, whose sum is σ = 19160673638400. Its totient is φ = 863187763200.

The previous prime is 4429485096931. The next prime is 4429485096979. The reversal of 4429485096960 is 696905849244.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 4429485096891 and 4429485096900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15763292020 + ... + 15763292300.

It is an arithmetic number, because the mean of its divisors is an integer number (9979517520).

Almost surely, 2^{4429485096960} is an apocalyptic number.

4429485096960 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 4429485096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580336819200).

4429485096960 is an abundant number, since it is smaller than the sum of its proper divisors (14731188541440).

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

4429485096960 is a wasteful number, since it uses less digits than its factorization.

4429485096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 66.

The spelling of 4429485096960 in words is "four trillion, four hundred twenty-nine billion, four hundred eighty-five million, ninety-six thousand, nine hundred sixty".