1351105564410 has 160 divisors (see below), whose sum is σ = 4152693422592. Its totient is φ = 308770237440.

The previous prime is 1351105564309. The next prime is 1351105564429. The reversal of 1351105564410 is 144655011531.

1351105564410 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 0 + 5 + 5 + 644 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38895850 + ... + 38930570.

Almost surely, 2^{1351105564410} is an apocalyptic number.

1351105564410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351105564410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076346711296).

1351105564410 is an abundant number, since it is smaller than the sum of its proper divisors (2801587858182).

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

1351105564410 is a wasteful number, since it uses less digits than its factorization.

1351105564410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41610 (or 41601 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 1351105564410 in words is "one trillion, three hundred fifty-one billion, one hundred five million, five hundred sixty-four thousand, four hundred ten".