4284409842720 has 576 divisors, whose sum is σ = 18156030197760. Its totient is φ = 897823180800.

The previous prime is 4284409842703. The next prime is 4284409842737. The reversal of 4284409842720 is 272489044824.

4284409842720 is a `hidden beast` number, since 4 + 2 + 8 + 440 + 98 + 42 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4284409842703) and next prime (4284409842737).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5576305 + ... + 6297935.

It is an arithmetic number, because the mean of its divisors is an integer number (31520885760).

Almost surely, 2^{4284409842720} is an apocalyptic number.

4284409842720 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 4284409842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9078015098880).

4284409842720 is an abundant number, since it is smaller than the sum of its proper divisors (13871620355040).

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

4284409842720 is a wasteful number, since it uses less digits than its factorization.

4284409842720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721709 (or 721698 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 4284409842720 in words is "four trillion, two hundred eighty-four billion, four hundred nine million, eight hundred forty-two thousand, seven hundred twenty".