1831420469760 has 320 divisors, whose sum is σ = 7043399193600. Its totient is φ = 396578045952.

The previous prime is 1831420469719. The next prime is 1831420469771. The reversal of 1831420469760 is 679640241381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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, 124951 + ... + 1917929.

It is an arithmetic number, because the mean of its divisors is an integer number (22010622480).

Almost surely, 2^{1831420469760} is an apocalyptic number.

1831420469760 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 1831420469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521699596800).

1831420469760 is an abundant number, since it is smaller than the sum of its proper divisors (5211978723840).

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

1831420469760 is a wasteful number, since it uses less digits than its factorization.

1831420469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793031 (or 1793015 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 1831420469760 in words is "one trillion, eight hundred thirty-one billion, four hundred twenty million, four hundred sixty-nine thousand, seven hundred sixty".