4148955163080 has 1408 divisors, whose sum is σ = 17499190464000. Its totient is φ = 862005805056.

The previous prime is 4148955163069. The next prime is 4148955163231. The reversal of 4148955163080 is 803615598414.

It is a happy number.

4148955163080 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 9 + 551 + 6 + 3 + 0 + 80 = 666.

4148955163080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 20849020821 + ... + 20849021019.

Almost surely, 2^{4148955163080} is an apocalyptic number.

4148955163080 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 4148955163080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749595232000).

4148955163080 is an abundant number, since it is smaller than the sum of its proper divisors (13350235300920).

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

4148955163080 is a wasteful number, since it uses less digits than its factorization.

4148955163080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 4148955163080 in words is "four trillion, one hundred forty-eight billion, nine hundred fifty-five million, one hundred sixty-three thousand, eighty".