1834090352640 has 2496 divisors, whose sum is σ = 8433547960320. Its totient is φ = 374561832960.

The previous prime is 1834090352587. The next prime is 1834090352657. The reversal of 1834090352640 is 462530904381.

1834090352640 is a `hidden beast` number, since 1 + 8 + 34 + 0 + 90 + 3 + 526 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14441656257 + ... + 14441656383.

Almost surely, 2^{1834090352640} is an apocalyptic number.

1834090352640 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 1834090352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216773980160).

1834090352640 is an abundant number, since it is smaller than the sum of its proper divisors (6599457607680).

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

1834090352640 is a wasteful number, since it uses less digits than its factorization.

1834090352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1834090352640 in words is "one trillion, eight hundred thirty-four billion, ninety million, three hundred fifty-two thousand, six hundred forty".