3146106524440 has 128 divisors (see below), whose sum is σ = 7973807339520. Its totient is φ = 1106795289600.

The previous prime is 3146106524417. The next prime is 3146106524447. The reversal of 3146106524440 is 444256016413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3146106524393 and 3146106524402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3146106524447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46792527 + ... + 46859713.

It is an arithmetic number, because the mean of its divisors is an integer number (62295369840).

Almost surely, 2^{3146106524440} 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 3146106524440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986903669760).

3146106524440 is an abundant number, since it is smaller than the sum of its proper divisors (4827700815080).

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

3146106524440 is a wasteful number, since it uses less digits than its factorization.

3146106524440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70673 (or 70669 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 3146106524440 in words is "three trillion, one hundred forty-six billion, one hundred six million, five hundred twenty-four thousand, four hundred forty".