49640448000 has 896 divisors, whose sum is σ = 195790742784. Its totient is φ = 11010048000.

The previous prime is 49640447999. The next prime is 49640448007. The reversal of 49640448000 is 84404694.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 49640448000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49640448007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439295944 + ... + 439296056.

It is an arithmetic number, because the mean of its divisors is an integer number (218516454).

Almost surely, 2^49640448000 is an apocalyptic number.

49640448000 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 49640448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97895371392).

49640448000 is an abundant number, since it is smaller than the sum of its proper divisors (146150294784).

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

49640448000 is a wasteful number, since it uses less digits than its factorization.

49640448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 49640448000 in words is "forty-nine billion, six hundred forty million, four hundred forty-eight thousand".