4295989716480 has 4800 divisors, whose sum is σ = 21888795456000. Its totient is φ = 795943895040.

The previous prime is 4295989716457. The next prime is 4295989716493. The reversal of 4295989716480 is 846179895924.

4295989716480 is a `hidden beast` number, since 4 + 2 + 9 + 59 + 8 + 97 + 1 + 6 + 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 = 4295989716399 and 4295989716408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 226104721911 + ... + 226104721929.

It is an arithmetic number, because the mean of its divisors is an integer number (4560165720).

Almost surely, 2^{4295989716480} is an apocalyptic number.

4295989716480 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 4295989716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944397728000).

4295989716480 is an abundant number, since it is smaller than the sum of its proper divisors (17592805739520).

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

4295989716480 is a wasteful number, since it uses less digits than its factorization.

4295989716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 4295989716480 in words is "four trillion, two hundred ninety-five billion, nine hundred eighty-nine million, seven hundred sixteen thousand, four hundred eighty".