1810419123040 has 192 divisors, whose sum is σ = 4737482588160. Its totient is φ = 648284682240.

The previous prime is 1810419123031. The next prime is 1810419123049. The reversal of 1810419123040 is 403219140181.

It is an interprime number because it is at equal distance from previous prime (1810419123031) and next prime (1810419123049).

It is a junction number, because it is equal to n+sod(n) for n = 1810419122987 and 1810419123005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1810419123049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53235322 + ... + 53269318.

It is an arithmetic number, because the mean of its divisors is an integer number (24674388480).

Almost surely, 2^{1810419123040} is an apocalyptic number.

1810419123040 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 1810419123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368741294080).

1810419123040 is an abundant number, since it is smaller than the sum of its proper divisors (2927063465120).

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

1810419123040 is a wasteful number, since it uses less digits than its factorization.

1810419123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34485 (or 34477 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 1810419123040 in words is "one trillion, eight hundred ten billion, four hundred nineteen million, one hundred twenty-three thousand, forty".