10407482880 has 320 divisors, whose sum is σ = 34895266560. Its totient is φ = 2642640896.

The previous prime is 10407482867. The next prime is 10407482893. The reversal of 10407482880 is 8828470401.

It is an interprime number because it is at equal distance from previous prime (10407482867) and next prime (10407482893).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18485479 + ... + 18486041.

It is an arithmetic number, because the mean of its divisors is an integer number (109047708).

Almost surely, 2^10407482880 is an apocalyptic number.

10407482880 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 10407482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447633280).

10407482880 is an abundant number, since it is smaller than the sum of its proper divisors (24487783680).

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

10407482880 is an equidigital number, since it uses as much as digits as its factorization.

10407482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 10407482880 in words is "ten billion, four hundred seven million, four hundred eighty-two thousand, eight hundred eighty".