4905181279080 has 192 divisors, whose sum is σ = 16880924782800. Its totient is φ = 1231007293440.

The previous prime is 4905181279057. The next prime is 4905181279087. The reversal of 4905181279080 is 809721815094.

It is a happy number.

4905181279080 is a `hidden beast` number, since 49 + 0 + 518 + 1 + 2 + 7 + 9 + 0 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1497192065604 + 3407989213476 = 1223598^2 + 1846074^2 .

It is not an unprimeable number, because it can be changed into a prime (4905181279087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107572926 + ... + 107618514.

Almost surely, 2^{4905181279080} is an apocalyptic number.

4905181279080 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 4905181279080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440462391400).

4905181279080 is an abundant number, since it is smaller than the sum of its proper divisors (11975743503720).

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

4905181279080 is a wasteful number, since it uses less digits than its factorization.

4905181279080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63204 (or 63197 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 4905181279080 in words is "four trillion, nine hundred five billion, one hundred eighty-one million, two hundred seventy-nine thousand, eighty".