30412110400 has 84 divisors (see below), whose sum is σ = 85523230528. Its totient is φ = 10427005440.

The previous prime is 30412110343. The next prime is 30412110403. The reversal of 30412110400 is 401121403.

It is a super-3 number, since 3×30412110400³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (30412110403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1346484 + ... + 1368883.

Almost surely, 2^30412110400 is an apocalyptic number.

It is an amenable number.

30412110400 is an abundant number, since it is smaller than the sum of its proper divisors (55111120128).

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

30412110400 is a wasteful number, since it uses less digits than its factorization.

30412110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715396 (or 2715381 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 30412110400 its reverse (401121403), we get a palindrome (30813231803).

The spelling of 30412110400 in words is "thirty billion, four hundred twelve million, one hundred ten thousand, four hundred".