1841213855040 has 336 divisors, whose sum is σ = 6818101143552. Its totient is φ = 419745951744.

The previous prime is 1841213855003. The next prime is 1841213855059. The reversal of 1841213855040 is 405583121481.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 1841213854983 and 1841213855001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17965222 + ... + 18067418.

Almost surely, 2^{1841213855040} is an apocalyptic number.

1841213855040 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 1841213855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409050571776).

1841213855040 is an abundant number, since it is smaller than the sum of its proper divisors (4976887288512).

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

1841213855040 is a wasteful number, since it uses less digits than its factorization.

1841213855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102614 (or 102597 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 1841213855040 in words is "one trillion, eight hundred forty-one billion, two hundred thirteen million, eight hundred fifty-five thousand, forty".