4148608611840 has 640 divisors, whose sum is σ = 16782122446848. Its totient is φ = 849174036480.

The previous prime is 4148608611809. The next prime is 4148608611893. The reversal of 4148608611840 is 481168068414.

4148608611840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39568767 + ... + 39673473.

Almost surely, 2^{4148608611840} is an apocalyptic number.

4148608611840 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 4148608611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391061223424).

4148608611840 is an abundant number, since it is smaller than the sum of its proper divisors (12633513835008).

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

4148608611840 is a wasteful number, since it uses less digits than its factorization.

4148608611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104818 (or 104802 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 4148608611840 in words is "four trillion, one hundred forty-eight billion, six hundred eight million, six hundred eleven thousand, eight hundred forty".