49924470240 has 144 divisors (see below), whose sum is σ = 170774001216. Its totient is φ = 13281408000.

The previous prime is 49924470209. The next prime is 49924470241. The reversal of 49924470240 is 4207442994.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49924470241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565065 + ... + 647415.

It is an arithmetic number, because the mean of its divisors is an integer number (1185930564).

Almost surely, 2^49924470240 is an apocalyptic number.

49924470240 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 49924470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85387000608).

49924470240 is an abundant number, since it is smaller than the sum of its proper divisors (120849530976).

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

49924470240 is a wasteful number, since it uses less digits than its factorization.

49924470240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82793 (or 82782 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 49924470240 in words is "forty-nine billion, nine hundred twenty-four million, four hundred seventy thousand, two hundred forty".