20404130142400 has 168 divisors, whose sum is σ = 50508980682624. Its totient is φ = 8112570163200.

The previous prime is 20404130142397. The next prime is 20404130142463. The reversal of 20404130142400 is 424103140402.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2098969540 + ... + 2098979260.

Almost surely, 2^{20404130142400} is an apocalyptic number.

20404130142400 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 20404130142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25254490341312).

20404130142400 is an abundant number, since it is smaller than the sum of its proper divisors (30104850540224).

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

20404130142400 is a wasteful number, since it uses less digits than its factorization.

20404130142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17499 (or 17484 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 20404130142400 its reverse (424103140402), we get a palindrome (20828233282802).

The spelling of 20404130142400 in words is "twenty trillion, four hundred four billion, one hundred thirty million, one hundred forty-two thousand, four hundred".