1005426334416 has 80 divisors (see below), whose sum is σ = 3028981232000. Its totient is φ = 287264662272.

The previous prime is 1005426334369. The next prime is 1005426334417. The reversal of 1005426334416 is 6144336245001.

It is a super-2 number, since 2×1005426334416² (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 (1005426334417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30517621 + ... + 30550548.

It is an arithmetic number, because the mean of its divisors is an integer number (37862265400).

Almost surely, 2^{1005426334416} is an apocalyptic number.

1005426334416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1005426334416 is an abundant number, since it is smaller than the sum of its proper divisors (2023554897584).

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

1005426334416 is an equidigital number, since it uses as much as digits as its factorization.

1005426334416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61068201 (or 61068181 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 1005426334416 in words is "one trillion, five billion, four hundred twenty-six million, three hundred thirty-four thousand, four hundred sixteen".