49038008320 has 336 divisors, whose sum is σ = 139783294728. Its totient is φ = 16460021760.

The previous prime is 49038008311. The next prime is 49038008323. The reversal of 49038008320 is 2380083094.

It can be written as a sum of positive squares in 4 ways, for example, as 40102465536 + 8935542784 = 200256^2 + 94528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49038008320.

It is not an unprimeable number, because it can be changed into a prime (49038008323) 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 23 ways as a sum of consecutive naturals, for example, 106372890 + ... + 106373350.

Almost surely, 2^49038008320 is an apocalyptic number.

49038008320 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 49038008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69891647364).

49038008320 is an abundant number, since it is smaller than the sum of its proper divisors (90745286408).

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

49038008320 is an equidigital number, since it uses as much as digits as its factorization.

49038008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 49038008320 in words is "forty-nine billion, thirty-eight million, eight thousand, three hundred twenty".