10168962850440 has 320 divisors, whose sum is σ = 36521579991600. Its totient is φ = 2528794017792.

The previous prime is 10168962850393. The next prime is 10168962850451. The reversal of 10168962850440 is 4405826986101.

10168962850440 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 8 + 9 + 628 + 5 + 0 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9244676736036 + 924286114404 = 3040506^2 + 961398^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5156832 + ... + 6850608.

Almost surely, 2^{10168962850440} is an apocalyptic number.

10168962850440 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 10168962850440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18260789995800).

10168962850440 is an abundant number, since it is smaller than the sum of its proper divisors (26352617141160).

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

10168962850440 is a wasteful number, since it uses less digits than its factorization.

10168962850440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693926 (or 1693913 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 10168962850440 in words is "ten trillion, one hundred sixty-eight billion, nine hundred sixty-two million, eight hundred fifty thousand, four hundred forty".