30355241321400 has 384 divisors, whose sum is σ = 95678036213760. Its totient is φ = 7960365504000.

The previous prime is 30355241321393. The next prime is 30355241321479. The reversal of 30355241321400 is 412314255303.

30355241321400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14244598335 + ... + 14244600465.

It is an arithmetic number, because the mean of its divisors is an integer number (249161552640).

Almost surely, 2^{30355241321400} is an apocalyptic number.

30355241321400 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 30355241321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47839018106880).

30355241321400 is an abundant number, since it is smaller than the sum of its proper divisors (65322794892360).

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

30355241321400 is a wasteful number, since it uses less digits than its factorization.

30355241321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 30355241321400 its reverse (412314255303), we get a palindrome (30767555576703).

The spelling of 30355241321400 in words is "thirty trillion, three hundred fifty-five billion, two hundred forty-one million, three hundred twenty-one thousand, four hundred".