412184432640 has 416 divisors, whose sum is σ = 1365441010560. Its totient is φ = 106092822528.

The previous prime is 412184432567. The next prime is 412184432659. The reversal of 412184432640 is 46234481214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235130004 + ... + 235131756.

Almost surely, 2^412184432640 is an apocalyptic number.

412184432640 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 412184432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682720505280).

412184432640 is an abundant number, since it is smaller than the sum of its proper divisors (953256577920).

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

412184432640 is a wasteful number, since it uses less digits than its factorization.

412184432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 412184432640 in words is "four hundred twelve billion, one hundred eighty-four million, four hundred thirty-two thousand, six hundred forty".