10412850032640 has 1248 divisors, whose sum is σ = 42837069004800. Its totient is φ = 2391175987200.

The previous prime is 10412850032633. The next prime is 10412850032687. The reversal of 10412850032640 is 4623005821401.

It is a happy number.

10412850032640 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 8 + 5 + 0 + 0 + 3 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10412850032595 and 10412850032604.

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 95 ways as a sum of consecutive naturals, for example, 1271250945 + ... + 1271259135.

Almost surely, 2^{10412850032640} is an apocalyptic number.

10412850032640 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 10412850032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21418534502400).

10412850032640 is an abundant number, since it is smaller than the sum of its proper divisors (32424218972160).

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

10412850032640 is a wasteful number, since it uses less digits than its factorization.

10412850032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10412850032640 in words is "ten trillion, four hundred twelve billion, eight hundred fifty million, thirty-two thousand, six hundred forty".