30412491484032 has 1536 divisors, whose sum is σ = 113587086412800. Its totient is φ = 7602076385280.

The previous prime is 30412491484031. The next prime is 30412491484061. The reversal of 30412491484032 is 23048419421403.

30412491484032 is a `hidden beast` number, since 30 + 4 + 1 + 24 + 91 + 484 + 0 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30412491484031) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58373303932 + ... + 58373304452.

It is an arithmetic number, because the mean of its divisors is an integer number (73949926050).

Almost surely, 2^{30412491484032} is an apocalyptic number.

30412491484032 is a gapful number since it is divisible by the number (32) 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 30412491484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56793543206400).

30412491484032 is an abundant number, since it is smaller than the sum of its proper divisors (83174594928768).

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

30412491484032 is a wasteful number, since it uses less digits than its factorization.

30412491484032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 30412491484032 in words is "thirty trillion, four hundred twelve billion, four hundred ninety-one million, four hundred eighty-four thousand, thirty-two".