4123819299456 has 384 divisors, whose sum is σ = 13015710489600. Its totient is φ = 1296047692800.

The previous prime is 4123819299419. The next prime is 4123819299487. The reversal of 4123819299456 is 6549929183214.

4123819299456 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 8 + 1 + 92 + 99 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4123819299456² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4123819299393 and 4123819299402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124679401 + ... + 124712471.

It is an arithmetic number, because the mean of its divisors is an integer number (33895079400).

Almost surely, 2^{4123819299456} 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 4123819299456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507855244800).

4123819299456 is an abundant number, since it is smaller than the sum of its proper divisors (8891891190144).

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

4123819299456 is a wasteful number, since it uses less digits than its factorization.

4123819299456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33330 (or 33306 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 4123819299456 in words is "four trillion, one hundred twenty-three billion, eight hundred nineteen million, two hundred ninety-nine thousand, four hundred fifty-six".