1351416314444 has 48 divisors (see below), whose sum is σ = 2716808371200. Its totient is φ = 576184466880.

The previous prime is 1351416314411. The next prime is 1351416314447. The reversal of 1351416314444 is 4444136141531.

It is not an unprimeable number, because it can be changed into a prime (1351416314447) 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, 52536674 + ... + 52562390.

It is an arithmetic number, because the mean of its divisors is an integer number (56600174400).

Almost surely, 2^{1351416314444} is an apocalyptic number.

1351416314444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1351416314444 is an abundant number, since it is smaller than the sum of its proper divisors (1365392056756).

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

1351416314444 is a wasteful number, since it uses less digits than its factorization.

1351416314444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35358 (or 35356 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The spelling of 1351416314444 in words is "one trillion, three hundred fifty-one billion, four hundred sixteen million, three hundred fourteen thousand, four hundred forty-four".