1834410262272 has 432 divisors, whose sum is σ = 6024675283200. Its totient is φ = 492360400896.

The previous prime is 1834410262271. The next prime is 1834410262309. The reversal of 1834410262272 is 2722620144381.

It is a happy number.

It is a super-2 number, since 2×1834410262272² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1834410262271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383204263 + ... + 383209049.

It is an arithmetic number, because the mean of its divisors is an integer number (13946007600).

Almost surely, 2^{1834410262272} is an apocalyptic number.

1834410262272 is a gapful number since it is divisible by the number (12) 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 1834410262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012337641600).

1834410262272 is an abundant number, since it is smaller than the sum of its proper divisors (4190265020928).

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

1834410262272 is a wasteful number, since it uses less digits than its factorization.

1834410262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 1834410262272 in words is "one trillion, eight hundred thirty-four billion, four hundred ten million, two hundred sixty-two thousand, two hundred seventy-two".