10491418080 has 1344 divisors, whose sum is σ = 47476352448. Its totient is φ = 2149908480.

The previous prime is 10491418033. The next prime is 10491418123. The reversal of 10491418080 is 8081419401.

10491418080 is a `hidden beast` number, since 10 + 491 + 4 + 1 + 80 + 80 = 666.

It is a super-2 number, since 2×10491418080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 283551822 + ... + 283551858.

It is an arithmetic number, because the mean of its divisors is an integer number (35324667).

Almost surely, 2^10491418080 is an apocalyptic number.

10491418080 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 10491418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23738176224).

10491418080 is an abundant number, since it is smaller than the sum of its proper divisors (36984934368).

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

10491418080 is a wasteful number, since it uses less digits than its factorization.

10491418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10491418080 in words is "ten billion, four hundred ninety-one million, four hundred eighteen thousand, eighty".