284241315840 has 384 divisors, whose sum is σ = 952819096320. Its totient is φ = 72202059776.

The previous prime is 284241315829. The next prime is 284241315871. The reversal of 284241315840 is 48513142482.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 284241315792 and 284241315801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207021394 + ... + 207022766.

It is an arithmetic number, because the mean of its divisors is an integer number (2481299730).

Almost surely, 2^284241315840 is an apocalyptic number.

284241315840 is a gapful number since it is divisible by the number (20) 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 284241315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476409548160).

284241315840 is an abundant number, since it is smaller than the sum of its proper divisors (668577780480).

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

284241315840 is a wasteful number, since it uses less digits than its factorization.

284241315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 284241315840 in words is "two hundred eighty-four billion, two hundred forty-one million, three hundred fifteen thousand, eight hundred forty".