30041169807840 has 384 divisors, whose sum is σ = 98586718755840. Its totient is φ = 7682375467008.

The previous prime is 30041169807827. The next prime is 30041169807841. The reversal of 30041169807840 is 4870896114003.

It is a super-3 number, since 3×30041169807840³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30041169807841) 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 63 ways as a sum of consecutive naturals, for example, 2083436151 + ... + 2083450569.

It is an arithmetic number, because the mean of its divisors is an integer number (256736246760).

Almost surely, 2^{30041169807840} is an apocalyptic number.

30041169807840 is a gapful number since it is divisible by the number (30) 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 30041169807840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49293359377920).

30041169807840 is an abundant number, since it is smaller than the sum of its proper divisors (68545548948000).

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

30041169807840 is a wasteful number, since it uses less digits than its factorization.

30041169807840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16154 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 30041169807840 in words is "thirty trillion, forty-one billion, one hundred sixty-nine million, eight hundred seven thousand, eight hundred forty".