49219548432000 has 512 divisors, whose sum is σ = 168947403955200. Its totient is φ = 12660735180800.

The previous prime is 49219548431983. The next prime is 49219548432001. The reversal of 49219548432000 is 23484591294.

49219548432000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49219548432001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1535359972 + ... + 1535392028.

It is an arithmetic number, because the mean of its divisors is an integer number (329975398350).

Almost surely, 2^{49219548432000} is an apocalyptic number.

49219548432000 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 49219548432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84473701977600).

49219548432000 is an abundant number, since it is smaller than the sum of its proper divisors (119727855523200).

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

49219548432000 is a wasteful number, since it uses less digits than its factorization.

49219548432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33221 (or 33199 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 49219548432000 in words is "forty-nine trillion, two hundred nineteen billion, five hundred forty-eight million, four hundred thirty-two thousand".