49409095680 has 1152 divisors, whose sum is σ = 214643520000. Its totient is φ = 10255859712.

The previous prime is 49409095679. The next prime is 49409095721. The reversal of 49409095680 is 8659090494.

49409095680 is a `hidden beast` number, since 494 + 0 + 9 + 0 + 95 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355461051 + ... + 355461189.

It is an arithmetic number, because the mean of its divisors is an integer number (186322500).

Almost surely, 2^49409095680 is an apocalyptic number.

49409095680 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 49409095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760000).

49409095680 is an abundant number, since it is smaller than the sum of its proper divisors (165234424320).

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

49409095680 is a wasteful number, since it uses less digits than its factorization.

49409095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 49409095680 in words is "forty-nine billion, four hundred nine million, ninety-five thousand, six hundred eighty".