181004401440 has 336 divisors, whose sum is σ = 647177646528. Its totient is φ = 47813442048.

The previous prime is 181004401439. The next prime is 181004401441. The reversal of 181004401440 is 44104400181.

181004401440 is a `hidden beast` number, since 1 + 81 + 0 + 0 + 440 + 144 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (181004401439) and next prime (181004401441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (181004401441) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12473229 + ... + 12487731.

It is an arithmetic number, because the mean of its divisors is an integer number (1926123948).

Almost surely, 2^181004401440 is an apocalyptic number.

181004401440 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 181004401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323588823264).

181004401440 is an abundant number, since it is smaller than the sum of its proper divisors (466173245088).

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

181004401440 is a wasteful number, since it uses less digits than its factorization.

181004401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14643 (or 14620 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 181004401440 in words is "one hundred eighty-one billion, four million, four hundred one thousand, four hundred forty".