30104201400 has 768 divisors, whose sum is σ = 119332362240. Its totient is φ = 6110208000.

The previous prime is 30104201371. The next prime is 30104201411. The reversal of 30104201400 is 410240103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30104201400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 292273749 + ... + 292273851.

It is an arithmetic number, because the mean of its divisors is an integer number (155380680).

Almost surely, 2^30104201400 is an apocalyptic number.

30104201400 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 30104201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59666181120).

30104201400 is an abundant number, since it is smaller than the sum of its proper divisors (89228160840).

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

30104201400 is a wasteful number, since it uses less digits than its factorization.

30104201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 30104201400 its reverse (410240103), we get a palindrome (30514441503).

The spelling of 30104201400 in words is "thirty billion, one hundred four million, two hundred one thousand, four hundred".