1351107540456 has 192 divisors, whose sum is σ = 3529692587520. Its totient is φ = 430731302400.

The previous prime is 1351107540451. The next prime is 1351107540493. The reversal of 1351107540456 is 6540457011531.

It is not an unprimeable number, because it can be changed into a prime (1351107540451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830427915 + ... + 830429541.

It is an arithmetic number, because the mean of its divisors is an integer number (18383815560).

Almost surely, 2^{1351107540456} 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 1351107540456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764846293760).

1351107540456 is an abundant number, since it is smaller than the sum of its proper divisors (2178585047064).

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

1351107540456 is a wasteful number, since it uses less digits than its factorization.

1351107540456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 1351107540456 in words is "one trillion, three hundred fifty-one billion, one hundred seven million, five hundred forty thousand, four hundred fifty-six".