4282560737280 has 1248 divisors, whose sum is σ = 17829854265600. Its totient is φ = 972300091392.

The previous prime is 4282560737263. The next prime is 4282560737291. The reversal of 4282560737280 is 827370652824.

4282560737280 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 5 + 607 + 3 + 7 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 4850011719 + ... + 4850012601.

It is an arithmetic number, because the mean of its divisors is an integer number (14286742200).

Almost surely, 2^{4282560737280} is an apocalyptic number.

4282560737280 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 4282560737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8914927132800).

4282560737280 is an abundant number, since it is smaller than the sum of its proper divisors (13547293528320).

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

4282560737280 is a wasteful number, since it uses less digits than its factorization.

4282560737280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 4282560737280 in words is "four trillion, two hundred eighty-two billion, five hundred sixty million, seven hundred thirty-seven thousand, two hundred eighty".