10205054531440 has 40 divisors (see below), whose sum is σ = 23726975327280. Its totient is φ = 4081983353856.

The previous prime is 10205054531407. The next prime is 10205054531447. The reversal of 10205054531440 is 4413545050201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10205054531396 and 10205054531405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205054531447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8870632 + ... + 9954808.

It is an arithmetic number, because the mean of its divisors is an integer number (593174383182).

Almost surely, 2^{10205054531440} is an apocalyptic number.

10205054531440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205054531440 is an abundant number, since it is smaller than the sum of its proper divisors (13521920795840).

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

10205054531440 is a wasteful number, since it uses less digits than its factorization.

10205054531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201849 (or 1201843 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 10205054531440 its reverse (4413545050201), we get a palindrome (14618599581641).

The spelling of 10205054531440 in words is "ten trillion, two hundred five billion, fifty-four million, five hundred thirty-one thousand, four hundred forty".