1027701715344 has 80 divisors (see below), whose sum is σ = 2701216932480. Its totient is φ = 336602004480.

The previous prime is 1027701715277. The next prime is 1027701715361. The reversal of 1027701715344 is 4435171077201.

It is a junction number, because it is equal to n+sod(n) for n = 1027701715296 and 1027701715305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2649892 + ... + 3012860.

It is an arithmetic number, because the mean of its divisors is an integer number (33765211656).

Almost surely, 2^{1027701715344} 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 1027701715344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350608466240).

1027701715344 is an abundant number, since it is smaller than the sum of its proper divisors (1673515217136).

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

1027701715344 is a wasteful number, since it uses less digits than its factorization.

1027701715344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364008 (or 364002 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 1027701715344 in words is "one trillion, twenty-seven billion, seven hundred one million, seven hundred fifteen thousand, three hundred forty-four".