4148741721600 has 2160 divisors, whose sum is σ = 18128701438848. Its totient is φ = 936822620160.

The previous prime is 4148741721583. The next prime is 4148741721601. The reversal of 4148741721600 is 61271478414.

4148741721600 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 7 + 4 + 17 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148741721601) 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 215 ways as a sum of consecutive naturals, for example, 24842764717 + ... + 24842764883.

Almost surely, 2^{4148741721600} is an apocalyptic number.

4148741721600 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 4148741721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9064350719424).

4148741721600 is an abundant number, since it is smaller than the sum of its proper divisors (13979959717248).

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

4148741721600 is a wasteful number, since it uses less digits than its factorization.

4148741721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 4148741721600 in words is "four trillion, one hundred forty-eight billion, seven hundred forty-one million, seven hundred twenty-one thousand, six hundred".