10110417408 has 960 divisors, whose sum is σ = 40037437440. Its totient is φ = 2472394752.

The previous prime is 10110417403. The next prime is 10110417409. The reversal of 10110417408 is 80471401101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10110417403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215115241 + ... + 215115287.

It is an arithmetic number, because the mean of its divisors is an integer number (41705664).

Almost surely, 2^10110417408 is an apocalyptic number.

10110417408 is a gapful number since it is divisible by the number (18) 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 10110417408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20018718720).

10110417408 is an abundant number, since it is smaller than the sum of its proper divisors (29927020032).

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

10110417408 is an equidigital number, since it uses as much as digits as its factorization.

10110417408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 10110417408 its reverse (80471401101), we get a palindrome (90581818509).

The spelling of 10110417408 in words is "ten billion, one hundred ten million, four hundred seventeen thousand, four hundred eight".