4349148958080 has 1536 divisors, whose sum is σ = 16977154176000. Its totient is φ = 1049898516480.

The previous prime is 4349148958061. The next prime is 4349148958127. The reversal of 4349148958080 is 808598419434.

4349148958080 is a `hidden beast` number, since 4 + 3 + 4 + 9 + 1 + 48 + 9 + 580 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4349148957999 and 4349148958017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22534450464 + ... + 22534450656.

It is an arithmetic number, because the mean of its divisors is an integer number (11052834750).

Almost surely, 2^{4349148958080} is an apocalyptic number.

4349148958080 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 4349148958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8488577088000).

4349148958080 is an abundant number, since it is smaller than the sum of its proper divisors (12628005217920).

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

4349148958080 is a wasteful number, since it uses less digits than its factorization.

4349148958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 4349148958080 in words is "four trillion, three hundred forty-nine billion, one hundred forty-eight million, nine hundred fifty-eight thousand, eighty".