10205143040000 has 340 divisors, whose sum is σ = 25861450714836. Its totient is φ = 4024958976000.

The previous prime is 10205143039943. The next prime is 10205143040047. The reversal of 10205143040000 is 4034150201.

It can be written as a sum of positive squares in 10 ways, for example, as 4870743064576 + 5334399975424 = 2206976^2 + 2309632^2 .

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, 2990078294 + ... + 2990081706.

Almost surely, 2^{10205143040000} is an apocalyptic number.

10205143040000 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 10205143040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930725357418).

10205143040000 is an abundant number, since it is smaller than the sum of its proper divisors (15656307674836).

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

10205143040000 is an frugal number, since it uses more digits than its factorization.

10205143040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10205143040000 its reverse (4034150201), we get a palindrome (10209177190201).

The spelling of 10205143040000 in words is "ten trillion, two hundred five billion, one hundred forty-three million, forty thousand".