14048133120 has 384 divisors, whose sum is σ = 55697410080. Its totient is φ = 3208642560.

The previous prime is 14048133119. The next prime is 14048133133. The reversal of 14048133120 is 2133184041.

14048133120 is a `hidden beast` number, since 1 + 404 + 8 + 133 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10321240 + ... + 10322600.

Almost surely, 2^14048133120 is an apocalyptic number.

14048133120 is a gapful number since it is divisible by the number (10) 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 14048133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27848705040).

14048133120 is an abundant number, since it is smaller than the sum of its proper divisors (41649276960).

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

14048133120 is an equidigital number, since it uses as much as digits as its factorization.

14048133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 14048133120 in words is "fourteen billion, forty-eight million, one hundred thirty-three thousand, one hundred twenty".