10404920448 has 640 divisors, whose sum is σ = 37322208000. Its totient is φ = 2842656768.

The previous prime is 10404920441. The next prime is 10404920453. The reversal of 10404920448 is 84402940401.

10404920448 = 6367² + 6368² + ... + 6613².

10404920448 is a `hidden beast` number, since 1 + 0 + 404 + 9 + 204 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10404920441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43535113 + ... + 43535351.

It is an arithmetic number, because the mean of its divisors is an integer number (58315950).

Almost surely, 2^10404920448 is an apocalyptic number.

10404920448 is a gapful number since it is divisible by the number (18) 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 10404920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18661104000).

10404920448 is an abundant number, since it is smaller than the sum of its proper divisors (26917287552).

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

10404920448 is a wasteful number, since it uses less digits than its factorization.

10404920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10404920448 in words is "ten billion, four hundred four million, nine hundred twenty thousand, four hundred forty-eight".