10418059427328 has 640 divisors, whose sum is σ = 36836956569600. Its totient is φ = 2842450845696.

The previous prime is 10418059427317. The next prime is 10418059427387. The reversal of 10418059427328 is 82372495081401.

10418059427328 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 8 + 0 + 594 + 27 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1466709025 + ... + 1466716127.

It is an arithmetic number, because the mean of its divisors is an integer number (57557744640).

Almost surely, 2^{10418059427328} is an apocalyptic number.

10418059427328 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 10418059427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18418478284800).

10418059427328 is an abundant number, since it is smaller than the sum of its proper divisors (26418897142272).

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

10418059427328 is an equidigital number, since it uses as much as digits as its factorization.

10418059427328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7819 (or 7797 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10418059427328 in words is "ten trillion, four hundred eighteen billion, fifty-nine million, four hundred twenty-seven thousand, three hundred twenty-eight".