4739281683840 has 1152 divisors, whose sum is σ = 19253089739520. Its totient is φ = 1064918384640.

The previous prime is 4739281683833. The next prime is 4739281683841. The reversal of 4739281683840 is 483861829374.

4739281683840 is a `hidden beast` number, since 4 + 7 + 3 + 92 + 8 + 168 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4739281683841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1226837749 + ... + 1226841611.

It is an arithmetic number, because the mean of its divisors is an integer number (16712751510).

Almost surely, 2^{4739281683840} is an apocalyptic number.

4739281683840 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 4739281683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626544869760).

4739281683840 is an abundant number, since it is smaller than the sum of its proper divisors (14513808055680).

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

4739281683840 is a wasteful number, since it uses less digits than its factorization.

4739281683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 4739281683840 in words is "four trillion, seven hundred thirty-nine billion, two hundred eighty-one million, six hundred eighty-three thousand, eight hundred forty".