1034104321440 has 144 divisors (see below), whose sum is σ = 3539543900256. Its totient is φ = 274927910400.

The previous prime is 1034104321417. The next prime is 1034104321463. The reversal of 1034104321440 is 441234014301.

1034104321440 is a `hidden beast` number, since 103 + 410 + 4 + 3 + 2 + 144 + 0 = 666.

1034104321440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1034104321417) and next prime (1034104321463).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608146 + ... + 1561425.

It is an arithmetic number, because the mean of its divisors is an integer number (24580165974).

Almost surely, 2^{1034104321440} is an apocalyptic number.

1034104321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034104321440 is an abundant number, since it is smaller than the sum of its proper divisors (2505439578816).

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

1034104321440 is a wasteful number, since it uses less digits than its factorization.

1034104321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169923 (or 2169912 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1034104321440 its reverse (441234014301), we get a palindrome (1475338335741).

The spelling of 1034104321440 in words is "one trillion, thirty-four billion, one hundred four million, three hundred twenty-one thousand, four hundred forty".