10240124311410 has 128 divisors (see below), whose sum is σ = 28296557936640. Its totient is φ = 2323158449664.

The previous prime is 10240124311327. The next prime is 10240124311423. The reversal of 10240124311410 is 1411342104201.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 217448887 + ... + 217495973.

It is an arithmetic number, because the mean of its divisors is an integer number (221066858880).

Almost surely, 2^{10240124311410} is an apocalyptic number.

10240124311410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240124311410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148278968320).

10240124311410 is an abundant number, since it is smaller than the sum of its proper divisors (18056433625230).

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

10240124311410 is a wasteful number, since it uses less digits than its factorization.

10240124311410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54800.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10240124311410 its reverse (1411342104201), we get a palindrome (11651466415611).

The spelling of 10240124311410 in words is "ten trillion, two hundred forty billion, one hundred twenty-four million, three hundred eleven thousand, four hundred ten".