1034245101344 has 96 divisors (see below), whose sum is σ = 2509545991680. Its totient is φ = 408582024192.

The previous prime is 1034245101341. The next prime is 1034245101361. The reversal of 1034245101344 is 4431015424301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1034245101344.

It is not an unprimeable number, because it can be changed into a prime (1034245101341) 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, 1846742 + ... + 2340714.

It is an arithmetic number, because the mean of its divisors is an integer number (26141104080).

Almost surely, 2^{1034245101344} is an apocalyptic number.

1034245101344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034245101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254772995840).

1034245101344 is an abundant number, since it is smaller than the sum of its proper divisors (1475300890336).

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

1034245101344 is a wasteful number, since it uses less digits than its factorization.

1034245101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494722 (or 494714 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 1034245101344 in words is "one trillion, thirty-four billion, two hundred forty-five million, one hundred one thousand, three hundred forty-four".