48408958832640 has 2496 divisors, whose sum is σ = 197741958393600. Its totient is φ = 10045391634432.

The previous prime is 48408958832609. The next prime is 48408958832669. The reversal of 48408958832640 is 4623885980484.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188361707392 + ... + 188361707648.

Almost surely, 2^{48408958832640} is an apocalyptic number.

48408958832640 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 48408958832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98870979196800).

48408958832640 is an abundant number, since it is smaller than the sum of its proper divisors (149332999560960).

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

48408958832640 is a wasteful number, since it uses less digits than its factorization.

48408958832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 69.

The spelling of 48408958832640 in words is "forty-eight trillion, four hundred eight billion, nine hundred fifty-eight million, eight hundred thirty-two thousand, six hundred forty".