181041425040 has 240 divisors, whose sum is σ = 675371148480. Its totient is φ = 39953894400.

The previous prime is 181041425027. The next prime is 181041425113. The reversal of 181041425040 is 40524140181.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 181041424989 and 181041425007.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 75615 + ... + 606465.

It is an arithmetic number, because the mean of its divisors is an integer number (2814046452).

Almost surely, 2^181041425040 is an apocalyptic number.

181041425040 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 181041425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337685574240).

181041425040 is an abundant number, since it is smaller than the sum of its proper divisors (494329723440).

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

181041425040 is a wasteful number, since it uses less digits than its factorization.

181041425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530910 (or 530897 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 181041425040 in words is "one hundred eighty-one billion, forty-one million, four hundred twenty-five thousand, forty".