4062606940800 has 288 divisors, whose sum is σ = 14963938853760. Its totient is φ = 1048414464000.

The previous prime is 4062606940787. The next prime is 4062606940817. The reversal of 4062606940800 is 80496062604.

4062606940800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 35 ways as a sum of consecutive naturals, for example, 1382406 + ... + 3168005.

It is an arithmetic number, because the mean of its divisors is an integer number (51958121020).

Almost surely, 2^{4062606940800} is an apocalyptic number.

4062606940800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4062606940800 is an abundant number, since it is smaller than the sum of its proper divisors (10901331912960).

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

4062606940800 is a wasteful number, since it uses less digits than its factorization.

4062606940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550472 (or 4550452 counting only the distinct ones).

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

The spelling of 4062606940800 in words is "four trillion, sixty-two billion, six hundred six million, nine hundred forty thousand, eight hundred".