10408228160 has 112 divisors (see below), whose sum is σ = 27106107840. Its totient is φ = 3775242240.

The previous prime is 10408228153. The next prime is 10408228169. The reversal of 10408228160 is 6182280401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10408228169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471352 + ... + 1478408.

It is an arithmetic number, because the mean of its divisors is an integer number (242018820).

Almost surely, 2^10408228160 is an apocalyptic number.

10408228160 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 10408228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553053920).

10408228160 is an abundant number, since it is smaller than the sum of its proper divisors (16697879680).

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

10408228160 is a wasteful number, since it uses less digits than its factorization.

10408228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7504 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 10408228160 in words is "ten billion, four hundred eight million, two hundred twenty-eight thousand, one hundred sixty".