4073423818464 has 2880 divisors, whose sum is σ = 17659639388160. Its totient is φ = 902125486080.

The previous prime is 4073423818463. The next prime is 4073423818469. The reversal of 4073423818464 is 4648183243704.

4073423818464 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 423 + 81 + 84 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4073423818464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073423818463) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 24391759309 + ... + 24391759475.

It is an arithmetic number, because the mean of its divisors is an integer number (6131819232).

Almost surely, 2^{4073423818464} is an apocalyptic number.

4073423818464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4073423818464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8829819694080).

4073423818464 is an abundant number, since it is smaller than the sum of its proper divisors (13586215569696).

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

4073423818464 is a wasteful number, since it uses less digits than its factorization.

4073423818464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 4073423818464 in words is "four trillion, seventy-three billion, four hundred twenty-three million, eight hundred eighteen thousand, four hundred sixty-four".