412424229888 has 528 divisors, whose sum is σ = 1373383065600. Its totient is φ = 117977333760.

The previous prime is 412424229871. The next prime is 412424229913. The reversal of 412424229888 is 888922424214.

It is a happy number.

412424229888 is a `hidden beast` number, since 4 + 12 + 42 + 422 + 98 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 184199073 + ... + 184201311.

Almost surely, 2^412424229888 is an apocalyptic number.

412424229888 is a gapful number since it is divisible by the number (48) 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 412424229888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686691532800).

412424229888 is an abundant number, since it is smaller than the sum of its proper divisors (960958835712).

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

412424229888 is a wasteful number, since it uses less digits than its factorization.

412424229888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2357 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 412424229888 in words is "four hundred twelve billion, four hundred twenty-four million, two hundred twenty-nine thousand, eight hundred eighty-eight".