408234071232 has 224 divisors, whose sum is σ = 1368478238400. Its totient is φ = 118221520896.

The previous prime is 408234071227. The next prime is 408234071237. The reversal of 408234071232 is 232170432804.

It is a happy number.

408234071232 is a `hidden beast` number, since 4 + 0 + 82 + 340 + 7 + 1 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (408234071227) and next prime (408234071237).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (408234071237) by changing a digit.

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, 152607 + ... + 916382.

It is an arithmetic number, because the mean of its divisors is an integer number (6109277850).

Almost surely, 2^408234071232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408234071232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684239119200).

408234071232 is an abundant number, since it is smaller than the sum of its proper divisors (960244167168).

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

408234071232 is a wasteful number, since it uses less digits than its factorization.

408234071232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069040 (or 1069024 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 408234071232 in words is "four hundred eight billion, two hundred thirty-four million, seventy-one thousand, two hundred thirty-two".