10114444000320 has 896 divisors, whose sum is σ = 36717594181632. Its totient is φ = 2337295564800.

The previous prime is 10114444000291. The next prime is 10114444000343. The reversal of 10114444000320 is 2300044441101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 127 ways as a sum of consecutive naturals, for example, 3903682225 + ... + 3903684815.

It is an arithmetic number, because the mean of its divisors is an integer number (40979457792).

Almost surely, 2^{10114444000320} is an apocalyptic number.

10114444000320 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 10114444000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18358797090816).

10114444000320 is an abundant number, since it is smaller than the sum of its proper divisors (26603150181312).

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

10114444000320 is a wasteful number, since it uses less digits than its factorization.

10114444000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10114444000320 its reverse (2300044441101), we get a palindrome (12414488441421).

The spelling of 10114444000320 in words is "ten trillion, one hundred fourteen billion, four hundred forty-four million, three hundred twenty", and thus it is an aban number.