20000302420400 has 240 divisors, whose sum is σ = 48637979470080. Its totient is φ = 7903103385600.

The previous prime is 20000302420393. The next prime is 20000302420411. The reversal of 20000302420400 is 402420300002.

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, 9574102556 + ... + 9574104644.

It is an arithmetic number, because the mean of its divisors is an integer number (202658247792).

Almost surely, 2^{20000302420400} is an apocalyptic number.

20000302420400 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 20000302420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24318989735040).

20000302420400 is an abundant number, since it is smaller than the sum of its proper divisors (28637677049680).

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

20000302420400 is a wasteful number, since it uses less digits than its factorization.

20000302420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 20000302420400 its reverse (402420300002), we get a palindrome (20402722720402).

The spelling of 20000302420400 in words is "twenty trillion, three hundred two million, four hundred twenty thousand, four hundred".