412318824840 has 1152 divisors, whose sum is σ = 1606215536640. Its totient is φ = 91299446784.

The previous prime is 412318824829. The next prime is 412318824901. The reversal of 412318824840 is 48428813214.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3246604857 + ... + 3246604983.

It is an arithmetic number, because the mean of its divisors is an integer number (1394284320).

Almost surely, 2^412318824840 is an apocalyptic number.

412318824840 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 412318824840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803107768320).

412318824840 is an abundant number, since it is smaller than the sum of its proper divisors (1193896711800).

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

412318824840 is a wasteful number, since it uses less digits than its factorization.

412318824840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 412318824840 in words is "four hundred twelve billion, three hundred eighteen million, eight hundred twenty-four thousand, eight hundred forty".