10408481524 has 48 divisors (see below), whose sum is σ = 21579828480. Its totient is φ = 4297950720.

The previous prime is 10408481521. The next prime is 10408481527. The reversal of 10408481524 is 42518480401.

10408481524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10408481521) and next prime (10408481527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10408481521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382284 + ... + 408604.

It is an arithmetic number, because the mean of its divisors is an integer number (449579760).

Almost surely, 2^10408481524 is an apocalyptic number.

10408481524 is a gapful number since it is divisible by the number (14) 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 10408481524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10789914240).

10408481524 is an abundant number, since it is smaller than the sum of its proper divisors (11171346956).

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

10408481524 is a wasteful number, since it uses less digits than its factorization.

10408481524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26848 (or 26846 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The spelling of 10408481524 in words is "ten billion, four hundred eight million, four hundred eighty-one thousand, five hundred twenty-four".