10048582440 has 512 divisors, whose sum is σ = 38384640000. Its totient is φ = 2317870080.

The previous prime is 10048582417. The next prime is 10048582477. The reversal of 10048582440 is 4428584001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10048582395 and 10048582404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37079505 + ... + 37079775.

It is an arithmetic number, because the mean of its divisors is an integer number (74970000).

Almost surely, 2^10048582440 is an apocalyptic number.

10048582440 is a gapful number since it is divisible by the number (10) 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 10048582440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320000).

10048582440 is an abundant number, since it is smaller than the sum of its proper divisors (28336057560).

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

10048582440 is a wasteful number, since it uses less digits than its factorization.

10048582440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 10048582440 in words is "ten billion, forty-eight million, five hundred eighty-two thousand, four hundred forty".