3123201521440 has 576 divisors, whose sum is σ = 10105035389568. Its totient is φ = 896690995200.

The previous prime is 3123201521411. The next prime is 3123201521491. The reversal of 3123201521440 is 441251023213.

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 = 3123201521399 and 3123201521408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 584100847 + ... + 584106193.

It is an arithmetic number, because the mean of its divisors is an integer number (17543464218).

Almost surely, 2^{3123201521440} 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 3123201521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052517694784).

3123201521440 is an abundant number, since it is smaller than the sum of its proper divisors (6981833868128).

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

3123201521440 is a wasteful number, since it uses less digits than its factorization.

3123201521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921 (or 5906 counting only the distinct ones).

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

Adding to 3123201521440 its reverse (441251023213), we get a palindrome (3564452544653).

The spelling of 3123201521440 in words is "three trillion, one hundred twenty-three billion, two hundred one million, five hundred twenty-one thousand, four hundred forty".