412353100240 has 160 divisors (see below), whose sum is σ = 1028659474080. Its totient is φ = 153180045312.

The previous prime is 412353100219. The next prime is 412353100253. The reversal of 412353100240 is 42001353214.

It can be written as a sum of positive squares in 16 ways, for example, as 188279623744 + 224073476496 = 433912^2 + 473364^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35186862 + ... + 35198578.

It is an arithmetic number, because the mean of its divisors is an integer number (6429121713).

Almost surely, 2^412353100240 is an apocalyptic number.

412353100240 is a gapful number since it is divisible by the number (40) 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 412353100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514329737040).

412353100240 is an abundant number, since it is smaller than the sum of its proper divisors (616306373840).

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

412353100240 is a wasteful number, since it uses less digits than its factorization.

412353100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12089 (or 12083 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 412353100240 its reverse (42001353214), we get a palindrome (454354453454).

The spelling of 412353100240 in words is "four hundred twelve billion, three hundred fifty-three million, one hundred thousand, two hundred forty".