20301003430400 has 1920 divisors, whose sum is σ = 67413138997248. Its totient is φ = 5875752960000.

The previous prime is 20301003430397. The next prime is 20301003430429. The reversal of 20301003430400 is 403430010302.

It is a super-2 number, since 2×20301003430400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 96213286295 + ... + 96213286505.

Almost surely, 2^{20301003430400} is an apocalyptic number.

20301003430400 is a gapful number since it is divisible by the number (20) 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 20301003430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33706569498624).

20301003430400 is an abundant number, since it is smaller than the sum of its proper divisors (47112135566848).

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

20301003430400 is a wasteful number, since it uses less digits than its factorization.

20301003430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20301003430400 its reverse (403430010302), we get a palindrome (20704433440702).

The spelling of 20301003430400 in words is "twenty trillion, three hundred one billion, three million, four hundred thirty thousand, four hundred".