3440256516480 has 256 divisors, whose sum is σ = 12601611509760. Its totient is φ = 781999349760.

The previous prime is 3440256516427. The next prime is 3440256516523. The reversal of 3440256516480 is 846156520443.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1725537 + ... + 3139743.

It is an arithmetic number, because the mean of its divisors is an integer number (49225044960).

Almost surely, 2^{3440256516480} is an apocalyptic number.

3440256516480 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 3440256516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300805754880).

3440256516480 is an abundant number, since it is smaller than the sum of its proper divisors (9161354993280).

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

3440256516480 is a wasteful number, since it uses less digits than its factorization.

3440256516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414417 (or 1414405 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 3440256516480 in words is "three trillion, four hundred forty billion, two hundred fifty-six million, five hundred sixteen thousand, four hundred eighty".