1024412101410 has 256 divisors, whose sum is σ = 2697504768000. Its totient is φ = 248099604480.

The previous prime is 1024412101381. The next prime is 1024412101421. The reversal of 1024412101410 is 141012144201.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 422785459 + ... + 422787881.

It is an arithmetic number, because the mean of its divisors is an integer number (10537128000).

Almost surely, 2^{1024412101410} is an apocalyptic number.

1024412101410 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 1024412101410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348752384000).

1024412101410 is an abundant number, since it is smaller than the sum of its proper divisors (1673092666590).

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

1024412101410 is a wasteful number, since it uses less digits than its factorization.

1024412101410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 1024412101410 its reverse (141012144201), we get a palindrome (1165424245611).

The spelling of 1024412101410 in words is "one trillion, twenty-four billion, four hundred twelve million, one hundred one thousand, four hundred ten".