4484286696960 has 1440 divisors, whose sum is σ = 18894846402432. Its totient is φ = 1016249794560.

The previous prime is 4484286696943. The next prime is 4484286696971. The reversal of 4484286696960 is 696966824844.

4484286696960 is a `hidden beast` number, since 4 + 484 + 2 + 86 + 6 + 9 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3993130959 + ... + 3993132081.

Almost surely, 2^{4484286696960} is an apocalyptic number.

4484286696960 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 4484286696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9447423201216).

4484286696960 is an abundant number, since it is smaller than the sum of its proper divisors (14410559705472).

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

4484286696960 is a wasteful number, since it uses less digits than its factorization.

4484286696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 4484286696960 in words is "four trillion, four hundred eighty-four billion, two hundred eighty-six million, six hundred ninety-six thousand, nine hundred sixty".