3121414444440 has 192 divisors, whose sum is σ = 10693601100000. Its totient is φ = 787454410752.

The previous prime is 3121414444433. The next prime is 3121414444441. The reversal of 3121414444440 is 444444141213.

3121414444440 is a `hidden beast` number, since 3 + 121 + 414 + 44 + 44 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3121414444395 and 3121414444404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121414444441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4527736 + ... + 5171384.

Almost surely, 2^{3121414444440} is an apocalyptic number.

3121414444440 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 3121414444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346800550000).

3121414444440 is an abundant number, since it is smaller than the sum of its proper divisors (7572186655560).

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

3121414444440 is a wasteful number, since it uses less digits than its factorization.

3121414444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644394 (or 644387 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 3121414444440 its reverse (444444141213), we get a palindrome (3565858585653).

The spelling of 3121414444440 in words is "three trillion, one hundred twenty-one billion, four hundred fourteen million, four hundred forty-four thousand, four hundred forty".