30029561424000 has 768 divisors, whose sum is σ = 108639426636000. Its totient is φ = 7949021184000.

The previous prime is 30029561423987. The next prime is 30029561424077. The reversal of 30029561424000 is 42416592003.

It is a happy number.

30029561424000 is a `hidden beast` number, since 30 + 0 + 2 + 9 + 5 + 614 + 2 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6087744576 + 30023473679424 = 78024^2 + 5479368^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12827662830 + ... + 12827665170.

Almost surely, 2^{30029561424000} is an apocalyptic number.

30029561424000 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 30029561424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54319713318000).

30029561424000 is an abundant number, since it is smaller than the sum of its proper divisors (78609865212000).

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

30029561424000 is a wasteful number, since it uses less digits than its factorization.

30029561424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2969 counting only the distinct ones).

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

The spelling of 30029561424000 in words is "thirty trillion, twenty-nine billion, five hundred sixty-one million, four hundred twenty-four thousand".