1409142827316 has 576 divisors, whose sum is σ = 4435125166080. Its totient is φ = 344672133120.

The previous prime is 1409142827311. The next prime is 1409142827321. The reversal of 1409142827316 is 6137282419041.

It is an interprime number because it is at equal distance from previous prime (1409142827311) and next prime (1409142827321).

It is a super-2 number, since 2×1409142827316² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409142827311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 806606355 + ... + 806608101.

It is an arithmetic number, because the mean of its divisors is an integer number (7699870080).

Almost surely, 2^{1409142827316} 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 1409142827316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217562583040).

1409142827316 is an abundant number, since it is smaller than the sum of its proper divisors (3025982338764).

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

1409142827316 is a wasteful number, since it uses less digits than its factorization.

1409142827316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 1409142827316 in words is "one trillion, four hundred nine billion, one hundred forty-two million, eight hundred twenty-seven thousand, three hundred sixteen".