4284907941888 has 728 divisors, whose sum is σ = 15191048258400. Its totient is φ = 1181876355072.

The previous prime is 4284907941871. The next prime is 4284907941907. The reversal of 4284907941888 is 8881497094824.

4284907941888 is a `hidden beast` number, since 4 + 28 + 49 + 0 + 79 + 418 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 606151218 + ... + 606158286.

Almost surely, 2^{4284907941888} is an apocalyptic number.

4284907941888 is a gapful number since it is divisible by the number (48) 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 4284907941888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595524129200).

4284907941888 is an abundant number, since it is smaller than the sum of its proper divisors (10906140316512).

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

4284907941888 is an frugal number, since it uses more digits than its factorization.

4284907941888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7147 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 4284907941888 in words is "four trillion, two hundred eighty-four billion, nine hundred seven million, nine hundred forty-one thousand, eight hundred eighty-eight".