4064123289600 has 1584 divisors, whose sum is σ = 17038265418720. Its totient is φ = 951268147200.

The previous prime is 4064123289581. The next prime is 4064123289623. The reversal of 4064123289600 is 69823214604.

4064123289600 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 1 + 2 + 32 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×4064123289600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140142182386 + ... + 140142182414.

Almost surely, 2^{4064123289600} is an apocalyptic number.

4064123289600 is a gapful number since it is divisible by the number (40) 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 4064123289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519132709360).

4064123289600 is an abundant number, since it is smaller than the sum of its proper divisors (12974142129120).

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

4064123289600 is an frugal number, since it uses more digits than its factorization.

4064123289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4064123289600 in words is "four trillion, sixty-four billion, one hundred twenty-three million, two hundred eighty-nine thousand, six hundred".