4113446429952 has 288 divisors, whose sum is σ = 13090890879360. Its totient is φ = 1269335162880.

The previous prime is 4113446429921. The next prime is 4113446429959. The reversal of 4113446429952 is 2599246443114.

4113446429952 is a `hidden beast` number, since 4 + 1 + 1 + 344 + 6 + 4 + 299 + 5 + 2 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113446429959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6880803 + ... + 7454685.

It is an arithmetic number, because the mean of its divisors is an integer number (45454482220).

Almost surely, 2^{4113446429952} 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 4113446429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545445439680).

4113446429952 is an abundant number, since it is smaller than the sum of its proper divisors (8977444449408).

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

4113446429952 is a wasteful number, since it uses less digits than its factorization.

4113446429952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573986 (or 573966 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 4113446429952 in words is "four trillion, one hundred thirteen billion, four hundred forty-six million, four hundred twenty-nine thousand, nine hundred fifty-two".