30655202941440 has 5760 divisors, whose sum is σ = 152476640870400. Its totient is φ = 5794003353600.

The previous prime is 30655202941439. The next prime is 30655202941511. The reversal of 30655202941440 is 4414920255603.

30655202941440 is a `hidden beast` number, since 3 + 0 + 6 + 552 + 0 + 2 + 94 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 241379550657 + ... + 241379550783.

It is an arithmetic number, because the mean of its divisors is an integer number (26471639040).

Almost surely, 2^{30655202941440} is an apocalyptic number.

30655202941440 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 30655202941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76238320435200).

30655202941440 is an abundant number, since it is smaller than the sum of its proper divisors (121821437928960).

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

30655202941440 is a wasteful number, since it uses less digits than its factorization.

30655202941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 30655202941440 in words is "thirty trillion, six hundred fifty-five billion, two hundred two million, nine hundred forty-one thousand, four hundred forty".