10205410240 has 56 divisors (see below), whose sum is σ = 24310402992. Its totient is φ = 4080691200.

The previous prime is 10205410223. The next prime is 10205410291. The reversal of 10205410240 is 4201450201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1484892 + ... + 1491748.

Almost surely, 2^10205410240 is an apocalyptic number.

10205410240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205410240 is an abundant number, since it is smaller than the sum of its proper divisors (14104992752).

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

10205410240 is an equidigital number, since it uses as much as digits as its factorization.

10205410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11525 (or 11515 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 10205410240 its reverse (4201450201), we get a palindrome (14406860441).

The spelling of 10205410240 in words is "ten billion, two hundred five million, four hundred ten thousand, two hundred forty".