10405417120 has 192 divisors, whose sum is σ = 31041916416. Its totient is φ = 3211591680.

The previous prime is 10405417079. The next prime is 10405417157. The reversal of 10405417120 is 2171450401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426040 + ... + 449800.

It is an arithmetic number, because the mean of its divisors is an integer number (161676648).

Almost surely, 2^10405417120 is an apocalyptic number.

10405417120 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 10405417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15520958208).

10405417120 is an abundant number, since it is smaller than the sum of its proper divisors (20636499296).

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

10405417120 is a wasteful number, since it uses less digits than its factorization.

10405417120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23823 (or 23815 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 10405417120 its reverse (2171450401), we get a palindrome (12576867521).

The spelling of 10405417120 in words is "ten billion, four hundred five million, four hundred seventeen thousand, one hundred twenty".