1834343427840 has 2592 divisors, whose sum is σ = 8140005715968. Its totient is φ = 349706649600.

The previous prime is 1834343427827. The next prime is 1834343427853. The reversal of 1834343427840 is 487243434381.

It is an interprime number because it is at equal distance from previous prime (1834343427827) and next prime (1834343427853).

It is a super-2 number, since 2×1834343427840² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16233127624 + ... + 16233127736.

It is an arithmetic number, because the mean of its divisors is an integer number (3140434304).

Almost surely, 2^{1834343427840} is an apocalyptic number.

1834343427840 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 1834343427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070002857984).

1834343427840 is an abundant number, since it is smaller than the sum of its proper divisors (6305662288128).

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

1834343427840 is a wasteful number, since it uses less digits than its factorization.

1834343427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 1834343427840 in words is "one trillion, eight hundred thirty-four billion, three hundred forty-three million, four hundred twenty-seven thousand, eight hundred forty".