4067608406400 has 3072 divisors, whose sum is σ = 19435098931200. Its totient is φ = 812934144000.

The previous prime is 4067608406357. The next prime is 4067608406413. The reversal of 4067608406400 is 46048067604.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24954652719 + ... + 24954652881.

It is an arithmetic number, because the mean of its divisors is an integer number (6326529600).

Almost surely, 2^{4067608406400} is an apocalyptic number.

4067608406400 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 4067608406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9717549465600).

4067608406400 is an abundant number, since it is smaller than the sum of its proper divisors (15367490524800).

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

4067608406400 is a wasteful number, since it uses less digits than its factorization.

4067608406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4067608406400 in words is "four trillion, sixty-seven billion, six hundred eight million, four hundred six thousand, four hundred".