10444825423872 has 936 divisors, whose sum is σ = 37112511471360. Its totient is φ = 2814230200320.

The previous prime is 10444825423867. The next prime is 10444825423919. The reversal of 10444825423872 is 27832452844401.

10444825423872 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 4 + 8 + 254 + 2 + 387 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9300823503 + ... + 9300824625.

Almost surely, 2^{10444825423872} is an apocalyptic number.

10444825423872 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 10444825423872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556255735680).

10444825423872 is an abundant number, since it is smaller than the sum of its proper divisors (26667686047488).

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

10444825423872 is a wasteful number, since it uses less digits than its factorization.

10444825423872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 10444825423872 in words is "ten trillion, four hundred forty-four billion, eight hundred twenty-five million, four hundred twenty-three thousand, eight hundred seventy-two".