48319637245440 has 640 divisors, whose sum is σ = 179931109957632. Its totient is φ = 10943963627520.

The previous prime is 48319637245361. The next prime is 48319637245457. The reversal of 48319637245440 is 4454273691384.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83261557 + ... + 83839883.

It is a 1-persistent number, because it is pandigital, but 2⋅48319637245440 = 96639274490880 is not.

Almost surely, 2^{48319637245440} is an apocalyptic number.

48319637245440 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 48319637245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89965554978816).

48319637245440 is an abundant number, since it is smaller than the sum of its proper divisors (131611472712192).

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

48319637245440 is a wasteful number, since it uses less digits than its factorization.

48319637245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578430 (or 578414 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 48319637245440 in words is "forty-eight trillion, three hundred nineteen billion, six hundred thirty-seven million, two hundred forty-five thousand, four hundred forty".