49128412142880 has 2304 divisors, whose sum is σ = 213640705474560. Its totient is φ = 10023616512000.

The previous prime is 49128412142879. The next prime is 49128412142893. The reversal of 49128412142880 is 8824121482194.

49128412142880 is a `hidden beast` number, since 4 + 9 + 1 + 2 + 8 + 412 + 142 + 8 + 80 = 666.

49128412142880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 70083326530 + ... + 70083327230.

It is an arithmetic number, because the mean of its divisors is an integer number (92726000640).

Almost surely, 2^{49128412142880} is an apocalyptic number.

49128412142880 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 49128412142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106820352737280).

49128412142880 is an abundant number, since it is smaller than the sum of its proper divisors (164512293331680).

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

49128412142880 is a wasteful number, since it uses less digits than its factorization.

49128412142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 49128412142880 in words is "forty-nine trillion, one hundred twenty-eight billion, four hundred twelve million, one hundred forty-two thousand, eight hundred eighty".