4206242046640 has 80 divisors (see below), whose sum is σ = 10024913641248. Its totient is φ = 1640417845248.

The previous prime is 4206242046637. The next prime is 4206242046673. The reversal of 4206242046640 is 466402426024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4206242046593 and 4206242046602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818464 + ... + 3013696.

Almost surely, 2^{4206242046640} is an apocalyptic number.

4206242046640 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 4206242046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012456820624).

4206242046640 is an abundant number, since it is smaller than the sum of its proper divisors (5818671594608).

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

4206242046640 is a wasteful number, since it uses less digits than its factorization.

4206242046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195846 (or 2195840 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 4206242046640 in words is "four trillion, two hundred six billion, two hundred forty-two million, forty-six thousand, six hundred forty".