10200444140000 has 120 divisors (see below), whose sum is σ = 25097073403248. Its totient is φ = 4079779200000.

The previous prime is 10200444139999. The next prime is 10200444140021. The reversal of 10200444140000 is 4144400201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288122300 + ... + 288157700.

Almost surely, 2^{10200444140000} is an apocalyptic number.

10200444140000 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 10200444140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548536701624).

10200444140000 is an abundant number, since it is smaller than the sum of its proper divisors (14896629263248).

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

10200444140000 is an equidigital number, since it uses as much as digits as its factorization.

10200444140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49838 (or 49815 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10200444140000 its reverse (4144400201), we get a palindrome (10204588540201).

The spelling of 10200444140000 in words is "ten trillion, two hundred billion, four hundred forty-four million, one hundred forty thousand".