10408543872 has 128 divisors (see below), whose sum is σ = 28214309760. Its totient is φ = 3399155712.

The previous prime is 10408543861. The next prime is 10408543883. The reversal of 10408543872 is 27834580401.

It is an interprime number because it is at equal distance from previous prime (10408543861) and next prime (10408543883).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3835188 + ... + 3837900.

It is an arithmetic number, because the mean of its divisors is an integer number (220424295).

Almost surely, 2^10408543872 is an apocalyptic number.

10408543872 is a gapful number since it is divisible by the number (12) 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 10408543872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14107154880).

10408543872 is an abundant number, since it is smaller than the sum of its proper divisors (17805765888).

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

10408543872 is a wasteful number, since it uses less digits than its factorization.

10408543872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 10408543872 in words is "ten billion, four hundred eight million, five hundred forty-three thousand, eight hundred seventy-two".