3400440040000 has 70 divisors (see below), whose sum is σ = 8431986255374. Its totient is φ = 1360176000000.

The previous prime is 3400440039979. The next prime is 3400440040021. The reversal of 3400440040000 is 400440043.

It is an interprime number because it is at equal distance from previous prime (3400440039979) and next prime (3400440040021).

It can be written as a sum of positive squares in 5 ways, for example, as 276793836544 + 3123646203456 = 526112^2 + 1767384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3400440040000.

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 9 ways as a sum of consecutive naturals, for example, 42465501 + ... + 42545500.

Almost surely, 2^{3400440040000} is an apocalyptic number.

It is an amenable number.

3400440040000 is an abundant number, since it is smaller than the sum of its proper divisors (5031546215374).

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

3400440040000 is an frugal number, since it uses more digits than its factorization.

3400440040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85011033 (or 85011008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 3400440040000 its reverse (400440043), we get a palindrome (3400840480043).

The spelling of 3400440040000 in words is "three trillion, four hundred billion, four hundred forty million, forty thousand".