20400200442 has 48 divisors (see below), whose sum is σ = 45679375872. Its totient is φ = 6573048480.

The previous prime is 20400200419. The next prime is 20400200521. The reversal of 20400200442 is 24400200402.

20400200442 is a `hidden beast` number, since 20 + 4 + 0 + 0 + 200 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468523 + ... + 510209.

It is an arithmetic number, because the mean of its divisors is an integer number (951653664).

Almost surely, 2^20400200442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20400200442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22839687936).

20400200442 is an abundant number, since it is smaller than the sum of its proper divisors (25279175430).

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

20400200442 is a wasteful number, since it uses less digits than its factorization.

20400200442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42603 (or 42600 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20400200442 its reverse (24400200402), we get a palindrome (44800400844).

The spelling of 20400200442 in words is "twenty billion, four hundred million, two hundred thousand, four hundred forty-two".