30352109135040 has 2016 divisors, whose sum is σ = 141096826450944. Its totient is φ = 5812934492160.

The previous prime is 30352109134993. The next prime is 30352109135093. The reversal of 30352109135040 is 4053190125303.

30352109135040 is a `hidden beast` number, since 3 + 0 + 3 + 5 + 210 + 91 + 350 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 30352109134986 and 30352109135004.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2962043197 + ... + 2962053443.

It is an arithmetic number, because the mean of its divisors is an integer number (69988505184).

Almost surely, 2^{30352109135040} is an apocalyptic number.

30352109135040 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 30352109135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70548413225472).

30352109135040 is an abundant number, since it is smaller than the sum of its proper divisors (110744717315904).

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

30352109135040 is a wasteful number, since it uses less digits than its factorization.

30352109135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10363 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 30352109135040 in words is "thirty trillion, three hundred fifty-two billion, one hundred nine million, one hundred thirty-five thousand, forty".