10409318840448 has 256 divisors, whose sum is σ = 34294272883200. Its totient is φ = 3080981836800.

The previous prime is 10409318840419. The next prime is 10409318840461. The reversal of 10409318840448 is 84404881390401.

10409318840448 is a `hidden beast` number, since 10 + 4 + 0 + 9 + 3 + 188 + 4 + 0 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10409318840394 and 10409318840403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549198 + ... + 4818573.

It is an arithmetic number, because the mean of its divisors is an integer number (133962003450).

Almost surely, 2^{10409318840448} is an apocalyptic number.

10409318840448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10409318840448 is an abundant number, since it is smaller than the sum of its proper divisors (23884954042752).

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

10409318840448 is a wasteful number, since it uses less digits than its factorization.

10409318840448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6367848 (or 6367830 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 10409318840448 in words is "ten trillion, four hundred nine billion, three hundred eighteen million, eight hundred forty thousand, four hundred forty-eight".