4280834638080 has 4608 divisors, whose sum is σ = 22429816012800. Its totient is φ = 743178240000.

The previous prime is 4280834638079. The next prime is 4280834638081. The reversal of 4280834638080 is 808364380824.

4280834638080 is a `hidden beast` number, since 4 + 28 + 0 + 8 + 3 + 463 + 80 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4280834638079) and next prime (4280834638081).

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

It is not an unprimeable number, because it can be changed into a prime (4280834638081) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 17055117955 + ... + 17055118205.

It is an arithmetic number, because the mean of its divisors is an integer number (4867581600).

Almost surely, 2^{4280834638080} is an apocalyptic number.

4280834638080 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 4280834638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11214908006400).

4280834638080 is an abundant number, since it is smaller than the sum of its proper divisors (18148981374720).

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

4280834638080 is a wasteful number, since it uses less digits than its factorization.

4280834638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 4280834638080 in words is "four trillion, two hundred eighty billion, eight hundred thirty-four million, six hundred thirty-eight thousand, eighty".