412383059850240 has 880 divisors, whose sum is σ = 1492544091943872. Its totient is φ = 108869104041984.

The previous prime is 412383059850227. The next prime is 412383059850259. The reversal of 412383059850240 is 42058950383214.

412383059850240 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 8 + 3 + 0 + 5 + 98 + 502 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120123231564 + ... + 120123234996.

Almost surely, 2^{412383059850240} is an apocalyptic number.

412383059850240 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 412383059850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746272045971936).

412383059850240 is an abundant number, since it is smaller than the sum of its proper divisors (1080161032093632).

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

412383059850240 is a wasteful number, since it uses less digits than its factorization.

412383059850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 412383059850240 in words is "four hundred twelve trillion, three hundred eighty-three billion, fifty-nine million, eight hundred fifty thousand, two hundred forty".