49638400488432 has 960 divisors, whose sum is σ = 175818872586240. Its totient is φ = 12746643148800.

The previous prime is 49638400488421. The next prime is 49638400488449. The reversal of 49638400488432 is 23488400483694.

49638400488432 is a `hidden beast` number, since 4 + 96 + 38 + 4 + 0 + 0 + 4 + 88 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 49638400488432.

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, 38449573707 + ... + 38449574997.

It is an arithmetic number, because the mean of its divisors is an integer number (183144658944).

Almost surely, 2^{49638400488432} is an apocalyptic number.

49638400488432 is a gapful number since it is divisible by the number (42) 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 49638400488432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87909436293120).

49638400488432 is an abundant number, since it is smaller than the sum of its proper divisors (126180472097808).

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

49638400488432 is a wasteful number, since it uses less digits than its factorization.

49638400488432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 49638400488432 in words is "forty-nine trillion, six hundred thirty-eight billion, four hundred million, four hundred eighty-eight thousand, four hundred thirty-two".