4234648803840 has 1920 divisors, whose sum is σ = 18831894681600. Its totient is φ = 873457385472.

The previous prime is 4234648803839. The next prime is 4234648803841. The reversal of 4234648803840 is 483088464324.

4234648803840 is a `hidden beast` number, since 4 + 23 + 464 + 8 + 80 + 3 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4234648803839) and next prime (4234648803841).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4234648803841) 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, 4828561482 + ... + 4828562358.

It is an arithmetic number, because the mean of its divisors is an integer number (9808278480).

Almost surely, 2^{4234648803840} is an apocalyptic number.

4234648803840 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 4234648803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9415947340800).

4234648803840 is an abundant number, since it is smaller than the sum of its proper divisors (14597245877760).

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

4234648803840 is a wasteful number, since it uses less digits than its factorization.

4234648803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 4234648803840 in words is "four trillion, two hundred thirty-four billion, six hundred forty-eight million, eight hundred three thousand, eight hundred forty".