20401333400 has 192 divisors, whose sum is σ = 55076474880. Its totient is φ = 6883776000.

The previous prime is 20401333373. The next prime is 20401333417. The reversal of 20401333400 is 433310402.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31531877 + ... + 31532523.

It is an arithmetic number, because the mean of its divisors is an integer number (286856640).

Almost surely, 2^20401333400 is an apocalyptic number.

20401333400 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 20401333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27538237440).

20401333400 is an abundant number, since it is smaller than the sum of its proper divisors (34675141480).

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

20401333400 is a wasteful number, since it uses less digits than its factorization.

20401333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 985 counting only the distinct ones).

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

Adding to 20401333400 its reverse (433310402), we get a palindrome (20834643802).

The spelling of 20401333400 in words is "twenty billion, four hundred one million, three hundred thirty-three thousand, four hundred".