49413607008480 has 1728 divisors, whose sum is σ = 204053996083392. Its totient is φ = 10734776156160.

The previous prime is 49413607008449. The next prime is 49413607008497. The reversal of 49413607008480 is 8480070631494.

49413607008480 is a `hidden beast` number, since 4 + 9 + 413 + 6 + 0 + 70 + 0 + 84 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 88713836362 + ... + 88713836918.

It is an arithmetic number, because the mean of its divisors is an integer number (118086803289).

Almost surely, 2^{49413607008480} is an apocalyptic number.

49413607008480 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 49413607008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102026998041696).

49413607008480 is an abundant number, since it is smaller than the sum of its proper divisors (154640389074912).

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

49413607008480 is a wasteful number, since it uses less digits than its factorization.

49413607008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 49413607008480 in words is "forty-nine trillion, four hundred thirteen billion, six hundred seven million, eight thousand, four hundred eighty".