10418314131072 has 576 divisors, whose sum is σ = 33016367311200. Its totient is φ = 3261102114816.

The previous prime is 10418314131041. The next prime is 10418314131073. The reversal of 10418314131072 is 27013141381401.

10418314131072 is a `hidden beast` number, since 1 + 0 + 418 + 3 + 141 + 31 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10418314131073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9531851358 + ... + 9531852450.

Almost surely, 2^{10418314131072} is an apocalyptic number.

10418314131072 is a gapful number since it is divisible by the number (12) 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 10418314131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508183655600).

10418314131072 is an abundant number, since it is smaller than the sum of its proper divisors (22598053180128).

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

10418314131072 is an equidigital number, since it uses as much as digits as its factorization.

10418314131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10418314131072 in words is "ten trillion, four hundred eighteen billion, three hundred fourteen million, one hundred thirty-one thousand, seventy-two".