10000040221312 has 64 divisors (see below), whose sum is σ = 20410128867240. Its totient is φ = 4877525237760.

The previous prime is 10000040221267. The next prime is 10000040221337. The reversal of 10000040221312 is 21312204000001.

It can be written as a sum of positive squares in 4 ways, for example, as 2396873697856 + 7603166523456 = 1548184^2 + 2757384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49214068 + ... + 49416844.

Almost surely, 2^{10000040221312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000040221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10205064433620).

10000040221312 is an abundant number, since it is smaller than the sum of its proper divisors (10410088645928).

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

10000040221312 is an equidigital number, since it uses as much as digits as its factorization.

10000040221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212229 (or 212217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10000040221312 its reverse (21312204000001), we get a palindrome (31312244221313).

The spelling of 10000040221312 in words is "ten trillion, forty million, two hundred twenty-one thousand, three hundred twelve".