4281339045984 has 1152 divisors, whose sum is σ = 15969564979200. Its totient is φ = 973813800960.

The previous prime is 4281339045983. The next prime is 4281339046031. The reversal of 4281339045984 is 4895409331824.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4281339045983) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2137462327 + ... + 2137464329.

It is an arithmetic number, because the mean of its divisors is an integer number (13862469600).

Almost surely, 2^{4281339045984} is an apocalyptic number.

4281339045984 is a gapful number since it is divisible by the number (44) 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 4281339045984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984782489600).

4281339045984 is an abundant number, since it is smaller than the sum of its proper divisors (11688225933216).

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

4281339045984 is a wasteful number, since it uses less digits than its factorization.

4281339045984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 4281339045984 in words is "four trillion, two hundred eighty-one billion, three hundred thirty-nine million, forty-five thousand, nine hundred eighty-four".