30104230430400 has 504 divisors, whose sum is σ = 115398518682816. Its totient is φ = 6850642176000.

The previous prime is 30104230430347. The next prime is 30104230430437. The reversal of 30104230430400 is 403403240103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53108475 + ... + 53672325.

Almost surely, 2^{30104230430400} is an apocalyptic number.

30104230430400 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 30104230430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57699259341408).

30104230430400 is an abundant number, since it is smaller than the sum of its proper divisors (85294288252416).

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

30104230430400 is a wasteful number, since it uses less digits than its factorization.

30104230430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564117 (or 564095 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30104230430400 its reverse (403403240103), we get a palindrome (30507633670503).

The spelling of 30104230430400 in words is "thirty trillion, one hundred four billion, two hundred thirty million, four hundred thirty thousand, four hundred".