10004110455312 has 320 divisors, whose sum is σ = 30735507801600. Its totient is φ = 3107794821120.

The previous prime is 10004110455293. The next prime is 10004110455331. The reversal of 10004110455312 is 21355401140001.

10004110455312 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 1 + 104 + 553 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10004110455293) and next prime (10004110455331).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314885764 + ... + 314917532.

It is an arithmetic number, because the mean of its divisors is an integer number (96048461880).

Almost surely, 2^{10004110455312} is an apocalyptic number.

10004110455312 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 10004110455312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367753900800).

10004110455312 is an abundant number, since it is smaller than the sum of its proper divisors (20731397346288).

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

10004110455312 is a wasteful number, since it uses less digits than its factorization.

10004110455312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32623 (or 32611 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10004110455312 its reverse (21355401140001), we get a palindrome (31359511595313).

The spelling of 10004110455312 in words is "ten trillion, four billion, one hundred ten million, four hundred fifty-five thousand, three hundred twelve".