4204442064640 has 72 divisors (see below), whose sum is σ = 10071385420320. Its totient is φ = 1681704554496.

The previous prime is 4204442064593. The next prime is 4204442064659. The reversal of 4204442064640 is 464602444024.

It is a happy number.

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 = 4204442064593 and 4204442064602.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 37562037 + ... + 37673803.

It is an arithmetic number, because the mean of its divisors is an integer number (139880353060).

Almost surely, 2^{4204442064640} is an apocalyptic number.

4204442064640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4204442064640 is an abundant number, since it is smaller than the sum of its proper divisors (5866943355680).

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

4204442064640 is a wasteful number, since it uses less digits than its factorization.

4204442064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141177 (or 141163 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

The spelling of 4204442064640 in words is "four trillion, two hundred four billion, four hundred forty-two million, sixty-four thousand, six hundred forty".