30041029509120 has 3072 divisors, whose sum is σ = 132326174880000. Its totient is φ = 6517375893504.

The previous prime is 30041029509107. The next prime is 30041029509137. The reversal of 30041029509120 is 2190592014003.

30041029509120 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 1 + 0 + 29 + 509 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 509169991651 + ... + 509169991709.

Almost surely, 2^{30041029509120} is an apocalyptic number.

30041029509120 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 30041029509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66163087440000).

30041029509120 is an abundant number, since it is smaller than the sum of its proper divisors (102285145370880).

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

30041029509120 is an frugal number, since it uses more digits than its factorization.

30041029509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 30041029509120 in words is "thirty trillion, forty-one billion, twenty-nine million, five hundred nine thousand, one hundred twenty".