3311251040440 has 256 divisors, whose sum is σ = 8959550745600. Its totient is φ = 1077383172096.

The previous prime is 3311251040437. The next prime is 3311251040497. The reversal of 3311251040440 is 440401521133.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3311251040399 and 3311251040408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254060164 + ... + 254073196.

It is an arithmetic number, because the mean of its divisors is an integer number (34998245100).

Almost surely, 2^{3311251040440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311251040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479775372800).

3311251040440 is an abundant number, since it is smaller than the sum of its proper divisors (5648299705160).

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

3311251040440 is a wasteful number, since it uses less digits than its factorization.

3311251040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13614 (or 13610 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 3311251040440 its reverse (440401521133), we get a palindrome (3751652561573).

The spelling of 3311251040440 in words is "three trillion, three hundred eleven billion, two hundred fifty-one million, forty thousand, four hundred forty".