3440417984640 has 1024 divisors, whose sum is σ = 15280020403200. Its totient is φ = 712177090560.

The previous prime is 3440417984621. The next prime is 3440417984683. The reversal of 3440417984640 is 464897140443.

It is a happy number.

3440417984640 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 4 + 179 + 8 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83320800 + ... + 83362080.

It is an arithmetic number, because the mean of its divisors is an integer number (14921894925).

Almost surely, 2^{3440417984640} is an apocalyptic number.

3440417984640 is a gapful number since it is divisible by the number (30) 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 3440417984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640010201600).

3440417984640 is an abundant number, since it is smaller than the sum of its proper divisors (11839602418560).

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

3440417984640 is a wasteful number, since it uses less digits than its factorization.

3440417984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41382 (or 41364 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 3440417984640 in words is "three trillion, four hundred forty billion, four hundred seventeen million, nine hundred eighty-four thousand, six hundred forty".