4282435422720 has 2880 divisors, whose sum is σ = 19640615170176. Its totient is φ = 886240051200.

The previous prime is 4282435422701. The next prime is 4282435422751. The reversal of 4282435422720 is 272245342824.

4282435422720 is a `hidden beast` number, since 4 + 2 + 8 + 24 + 354 + 2 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40022760907 + ... + 40022761013.

Almost surely, 2^{4282435422720} is an apocalyptic number.

4282435422720 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 4282435422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820307585088).

4282435422720 is an abundant number, since it is smaller than the sum of its proper divisors (15358179747456).

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

4282435422720 is a wasteful number, since it uses less digits than its factorization.

4282435422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 4282435422720 in words is "four trillion, two hundred eighty-two billion, four hundred thirty-five million, four hundred twenty-two thousand, seven hundred twenty".