412917419520 has 480 divisors, whose sum is σ = 1505300404608. Its totient is φ = 108456910848.

The previous prime is 412917419491. The next prime is 412917419557. The reversal of 412917419520 is 25914719214.

412917419520 is a `hidden beast` number, since 41 + 2 + 9 + 1 + 74 + 19 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41674407 + ... + 41684313.

Almost surely, 2^412917419520 is an apocalyptic number.

412917419520 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 412917419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752650202304).

412917419520 is an abundant number, since it is smaller than the sum of its proper divisors (1092382985088).

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

412917419520 is an frugal number, since it uses more digits than its factorization.

412917419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 412917419520 in words is "four hundred twelve billion, nine hundred seventeen million, four hundred nineteen thousand, five hundred twenty".