408612121344 has 288 divisors, whose sum is σ = 1383332106240. Its totient is φ = 116545609728.

The previous prime is 408612121343. The next prime is 408612121349. The reversal of 408612121344 is 443121216804.

408612121344 is a `hidden beast` number, since 4 + 0 + 8 + 612 + 1 + 2 + 1 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 408612121299 and 408612121308.

It is not an unprimeable number, because it can be changed into a prime (408612121343) 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, 29362132 + ... + 29376044.

It is an arithmetic number, because the mean of its divisors is an integer number (4803236480).

Almost surely, 2^408612121344 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 408612121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691666053120).

408612121344 is an abundant number, since it is smaller than the sum of its proper divisors (974719984896).

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

408612121344 is a wasteful number, since it uses less digits than its factorization.

408612121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14552 (or 14532 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 408612121344 in words is "four hundred eight billion, six hundred twelve million, one hundred twenty-one thousand, three hundred forty-four".