4099752037248 has 1024 divisors, whose sum is σ = 14257700352000. Its totient is φ = 1016290344960.

The previous prime is 4099752037189. The next prime is 4099752037273. The reversal of 4099752037248 is 8427302579904.

It is a junction number, because it is equal to n+sod(n) for n = 4099752037191 and 4099752037200.

It is a congruent number.

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, 3835127658 + ... + 3835128726.

It is an arithmetic number, because the mean of its divisors is an integer number (13923535500).

Almost surely, 2^{4099752037248} is an apocalyptic number.

4099752037248 is a gapful number since it is divisible by the number (48) 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 4099752037248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128850176000).

4099752037248 is an abundant number, since it is smaller than the sum of its proper divisors (10157948314752).

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

4099752037248 is a wasteful number, since it uses less digits than its factorization.

4099752037248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 4099752037248 in words is "four trillion, ninety-nine billion, seven hundred fifty-two million, thirty-seven thousand, two hundred forty-eight".