30066490621440 has 2240 divisors, whose sum is σ = 137341961551872. Its totient is φ = 6137988710400.

The previous prime is 30066490621399. The next prime is 30066490621537. The reversal of 30066490621440 is 4412609466003.

30066490621440 is a `hidden beast` number, since 3 + 0 + 0 + 6 + 64 + 90 + 62 + 1 + 440 = 666.

30066490621440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5264660185 + ... + 5264665895.

Almost surely, 2^{30066490621440} is an apocalyptic number.

30066490621440 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 30066490621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68670980775936).

30066490621440 is an abundant number, since it is smaller than the sum of its proper divisors (107275470930432).

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

30066490621440 is an equidigital number, since it uses as much as digits as its factorization.

30066490621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5803 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 30066490621440 in words is "thirty trillion, sixty-six billion, four hundred ninety million, six hundred twenty-one thousand, four hundred forty".