412455050240 has 176 divisors, whose sum is σ = 1005796757952. Its totient is φ = 162270806016.

The previous prime is 412455050221. The next prime is 412455050263. The reversal of 412455050240 is 42050554214.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 412455050197 and 412455050206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82936394 + ... + 82941366.

Almost surely, 2^412455050240 is an apocalyptic number.

412455050240 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 412455050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502898378976).

412455050240 is an abundant number, since it is smaller than the sum of its proper divisors (593341707712).

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

412455050240 is a wasteful number, since it uses less digits than its factorization.

412455050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The spelling of 412455050240 in words is "four hundred twelve billion, four hundred fifty-five million, fifty thousand, two hundred forty".