4148921865600 has 960 divisors, whose sum is σ = 16025483723040. Its totient is φ = 1055007866880.

The previous prime is 4148921865499. The next prime is 4148921865629. The reversal of 4148921865600 is 65681298414.

4148921865600 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 9 + 21 + 8 + 6 + 5 + 600 = 666.

4148921865600 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 (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2366754324 + ... + 2366756076.

Almost surely, 2^{4148921865600} is an apocalyptic number.

4148921865600 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 4148921865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012741861520).

4148921865600 is an abundant number, since it is smaller than the sum of its proper divisors (11876561857440).

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

4148921865600 is a wasteful number, since it uses less digits than its factorization.

4148921865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4148921865600 in words is "four trillion, one hundred forty-eight billion, nine hundred twenty-one million, eight hundred sixty-five thousand, six hundred".