412413440340 has 144 divisors (see below), whose sum is σ = 1270374912576. Its totient is φ = 99892700160.

The previous prime is 412413440339. The next prime is 412413440347. The reversal of 412413440340 is 43044314214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 412413440298 and 412413440307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412413440347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8593692 + ... + 8641548.

It is an arithmetic number, because the mean of its divisors is an integer number (8822048004).

Almost surely, 2^412413440340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412413440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635187456288).

412413440340 is an abundant number, since it is smaller than the sum of its proper divisors (857961472236).

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

412413440340 is a wasteful number, since it uses less digits than its factorization.

412413440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49078 (or 49065 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 412413440340 its reverse (43044314214), we get a palindrome (455457754554).

The spelling of 412413440340 in words is "four hundred twelve billion, four hundred thirteen million, four hundred forty thousand, three hundred forty".