412233554240352 has 144 divisors (see below), whose sum is σ = 1262708615815920. Its totient is φ = 126816643408896.

The previous prime is 412233554240311. The next prime is 412233554240423. The reversal of 412233554240352 is 253042455332214.

It is a happy number.

412233554240352 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 3 + 3 + 5 + 54 + 240 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 412233554240298 and 412233554240307.

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 23 ways as a sum of consecutive naturals, for example, 8818143 + ... + 30037089.

It is an arithmetic number, because the mean of its divisors is an integer number (8768809832055).

Almost surely, 2^{412233554240352} 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 412233554240352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631354307907960).

412233554240352 is an abundant number, since it is smaller than the sum of its proper divisors (850475061575568).

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

412233554240352 is a wasteful number, since it uses less digits than its factorization.

412233554240352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21224165 (or 21224154 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 412233554240352 in words is "four hundred twelve trillion, two hundred thirty-three billion, five hundred fifty-four million, two hundred forty thousand, three hundred fifty-two".