1034105301440 has 112 divisors (see below), whose sum is σ = 2479229544960. Its totient is φ = 410835072000.

The previous prime is 1034105301433. The next prime is 1034105301491. The reversal of 1034105301440 is 441035014301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28816949 + ... + 28852811.

It is an arithmetic number, because the mean of its divisors is an integer number (22135978080).

Almost surely, 2^{1034105301440} is an apocalyptic number.

1034105301440 is a gapful number since it is divisible by the number (10) 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 1034105301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239614772480).

1034105301440 is an abundant number, since it is smaller than the sum of its proper divisors (1445124243520).

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

1034105301440 is a wasteful number, since it uses less digits than its factorization.

1034105301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36490 (or 36480 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 1034105301440 in words is "one trillion, thirty-four billion, one hundred five million, three hundred one thousand, four hundred forty".