30540412331400 has 192 divisors, whose sum is σ = 98024221137600. Its totient is φ = 7856512168960.

The previous prime is 30540412331399. The next prime is 30540412331437. The reversal of 30540412331400 is 413321404503.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 19481602 + ... + 20990798.

It is an arithmetic number, because the mean of its divisors is an integer number (510542818425).

Almost surely, 2^{30540412331400} is an apocalyptic number.

30540412331400 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 30540412331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49012110568800).

30540412331400 is an abundant number, since it is smaller than the sum of its proper divisors (67483808806200).

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

30540412331400 is a wasteful number, since it uses less digits than its factorization.

30540412331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510408 (or 1510399 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 30540412331400 its reverse (413321404503), we get a palindrome (30953733735903).

The spelling of 30540412331400 in words is "thirty trillion, five hundred forty billion, four hundred twelve million, three hundred thirty-one thousand, four hundred".