10418906880 has 864 divisors, whose sum is σ = 41248247040. Its totient is φ = 2508226560.

The previous prime is 10418906783. The next prime is 10418906893. The reversal of 10418906880 is 8860981401.

10418906880 is a `hidden beast` number, since 10 + 418 + 90 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10418906880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242300139 + ... + 242300181.

Almost surely, 2^10418906880 is an apocalyptic number.

10418906880 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 10418906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624123520).

10418906880 is an abundant number, since it is smaller than the sum of its proper divisors (30829340160).

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

10418906880 is an equidigital number, since it uses as much as digits as its factorization.

10418906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 10418906880 in words is "ten billion, four hundred eighteen million, nine hundred six thousand, eight hundred eighty".