1830385838400 has 672 divisors, whose sum is σ = 7301706089472. Its totient is φ = 391871692800.

The previous prime is 1830385838377. The next prime is 1830385838431. The reversal of 1830385838400 is 48385830381.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120515607 + ... + 120530793.

Almost surely, 2^{1830385838400} is an apocalyptic number.

1830385838400 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 1830385838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650853044736).

1830385838400 is an abundant number, since it is smaller than the sum of its proper divisors (5471320251072).

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

1830385838400 is a wasteful number, since it uses less digits than its factorization.

1830385838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15447 (or 15432 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 1830385838400 in words is "one trillion, eight hundred thirty billion, three hundred eighty-five million, eight hundred thirty-eight thousand, four hundred".