6442501142406 has 64 divisors (see below), whose sum is σ = 15403536000000. Its totient is φ = 1756378584576.

The previous prime is 6442501142381. The next prime is 6442501142417. The reversal of 6442501142406 is 6042411052446.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7758031 + ... + 8548218.

It is an arithmetic number, because the mean of its divisors is an integer number (240680250000).

Almost surely, 2^{6442501142406} is an apocalyptic number.

6442501142406 is an abundant number, since it is smaller than the sum of its proper divisors (8961034857594).

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

6442501142406 is a wasteful number, since it uses less digits than its factorization.

6442501142406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16306693.

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 6442501142406 in words is "six trillion, four hundred forty-two billion, five hundred one million, one hundred forty-two thousand, four hundred six".