30941145600 has 480 divisors, whose sum is σ = 108832927104. Its totient is φ = 7731609600.

The previous prime is 30941145553. The next prime is 30941145629. The reversal of 30941145600 is 654114903.

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, 46809270 + ... + 46809930.

Almost surely, 2^30941145600 is an apocalyptic number.

30941145600 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 30941145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54416463552).

30941145600 is an abundant number, since it is smaller than the sum of its proper divisors (77891781504).

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

30941145600 is a wasteful number, since it uses less digits than its factorization.

30941145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 30941145600 in words is "thirty billion, nine hundred forty-one million, one hundred forty-five thousand, six hundred".