30404913215040 has 2016 divisors, whose sum is σ = 138595561767936. Its totient is φ = 6051514613760.

The previous prime is 30404913214999. The next prime is 30404913215081. The reversal of 30404913215040 is 4051231940403.

30404913215040 is a `hidden beast` number, since 3 + 0 + 40 + 4 + 91 + 3 + 21 + 504 + 0 = 666.

30404913215040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (30404913214999) and next prime (30404913215081).

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

It is a super-2 number, since 2×30404913215040² (a number of 28 digits) contains 22 as substring.

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 = 30404913214986 and 30404913215004.

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, 3080221305 + ... + 3080231175.

It is an arithmetic number, because the mean of its divisors is an integer number (68747798496).

Almost surely, 2^{30404913215040} is an apocalyptic number.

30404913215040 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 30404913215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69297780883968).

30404913215040 is an abundant number, since it is smaller than the sum of its proper divisors (108190648552896).

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

30404913215040 is a wasteful number, since it uses less digits than its factorization.

30404913215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10017 (or 9997 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 30404913215040 in words is "thirty trillion, four hundred four billion, nine hundred thirteen million, two hundred fifteen thousand, forty".