1034348499840 has 256 divisors, whose sum is σ = 3418645708800. Its totient is φ = 265728245760.

The previous prime is 1034348499829. The next prime is 1034348499881. The reversal of 1034348499840 is 489948434301.

1034348499840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13233996 + ... + 13311924.

It is an arithmetic number, because the mean of its divisors is an integer number (13354084800).

Almost surely, 2^{1034348499840} is an apocalyptic number.

1034348499840 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 1034348499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709322854400).

1034348499840 is an abundant number, since it is smaller than the sum of its proper divisors (2384297208960).

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

1034348499840 is a wasteful number, since it uses less digits than its factorization.

1034348499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78205 (or 78193 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 1034348499840 in words is "one trillion, thirty-four billion, three hundred forty-eight million, four hundred ninety-nine thousand, eight hundred forty".