10412617712640 has 792 divisors, whose sum is σ = 39640721347584. Its totient is φ = 2330025984000.

The previous prime is 10412617712621. The next prime is 10412617712671. The reversal of 10412617712640 is 4621771621401.

It is a junction number, because it is equal to n+sod(n) for n = 10412617712592 and 10412617712601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314080065 + ... + 314113215.

Almost surely, 2^{10412617712640} is an apocalyptic number.

10412617712640 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 10412617712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820360673792).

10412617712640 is an abundant number, since it is smaller than the sum of its proper divisors (29228103634944).

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

10412617712640 is a wasteful number, since it uses less digits than its factorization.

10412617712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33227 (or 33185 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 10412617712640 in words is "ten trillion, four hundred twelve billion, six hundred seventeen million, seven hundred twelve thousand, six hundred forty".