20434124210400 has 360 divisors, whose sum is σ = 78441349666680. Its totient is φ = 5162304752640.

The previous prime is 20434124210369. The next prime is 20434124210411. The reversal of 20434124210400 is 401242143402.

20434124210400 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 4 + 1 + 242 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7067259 + ... + 9529658.

It is an arithmetic number, because the mean of its divisors is an integer number (217892637963).

Almost surely, 2^{20434124210400} is an apocalyptic number.

20434124210400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434124210400 is an abundant number, since it is smaller than the sum of its proper divisors (58007225456280).

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

20434124210400 is a wasteful number, since it uses less digits than its factorization.

20434124210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16596968 (or 16596946 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20434124210400 its reverse (401242143402), we get a palindrome (20835366353802).

The spelling of 20434124210400 in words is "twenty trillion, four hundred thirty-four billion, one hundred twenty-four million, two hundred ten thousand, four hundred".