4148134634880 has 384 divisors, whose sum is σ = 15196698316800. Its totient is φ = 1039694745600.

The previous prime is 4148134634837. The next prime is 4148134634921. The reversal of 4148134634880 is 884364318414.

4148134634880 is a `hidden beast` number, since 4 + 1 + 481 + 3 + 46 + 3 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4148134634880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13749655 + ... + 14048105.

It is an arithmetic number, because the mean of its divisors is an integer number (39574735200).

Almost surely, 2^{4148134634880} is an apocalyptic number.

4148134634880 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 4148134634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598349158400).

4148134634880 is an abundant number, since it is smaller than the sum of its proper divisors (11048563681920).

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

4148134634880 is a wasteful number, since it uses less digits than its factorization.

4148134634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298622 (or 298607 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 4148134634880 in words is "four trillion, one hundred forty-eight billion, one hundred thirty-four million, six hundred thirty-four thousand, eight hundred eighty".