3121410440 has 64 divisors (see below), whose sum is σ = 7407892800. Its totient is φ = 1180438272.

The previous prime is 3121410427. The next prime is 3121410451. The reversal of 3121410440 is 440141213.

It is a super-3 number, since 3×3121410440³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393554 + ... + 401406.

It is an arithmetic number, because the mean of its divisors is an integer number (115748325).

Almost surely, 2^3121410440 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 3121410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703946400).

3121410440 is an abundant number, since it is smaller than the sum of its proper divisors (4286482360).

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

3121410440 is a wasteful number, since it uses less digits than its factorization.

3121410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8406 (or 8402 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3121410440 is about 55869.5842118053. The cubic root of 3121410440 is about 1461.4488713235.

Adding to 3121410440 its reverse (440141213), we get a palindrome (3561551653).

The spelling of 3121410440 in words is "three billion, one hundred twenty-one million, four hundred ten thousand, four hundred forty".