30500144640 has 480 divisors, whose sum is σ = 121330287936. Its totient is φ = 6936330240.

The previous prime is 30500144629. The next prime is 30500144671. The reversal of 30500144640 is 4644100503.

30500144640 is a `hidden beast` number, since 3 + 0 + 5 + 0 + 0 + 14 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45319344 + ... + 45320016.

Almost surely, 2^30500144640 is an apocalyptic number.

30500144640 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 30500144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60665143968).

30500144640 is an abundant number, since it is smaller than the sum of its proper divisors (90830143296).

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

30500144640 is a wasteful number, since it uses less digits than its factorization.

30500144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 30500144640 in words is "thirty billion, five hundred million, one hundred forty-four thousand, six hundred forty".