20408198400 has 432 divisors, whose sum is σ = 75732652800. Its totient is φ = 5376983040.

The previous prime is 20408198297. The next prime is 20408198441. The reversal of 20408198400 is 489180402.

20408198400 is a `hidden beast` number, since 20 + 40 + 8 + 198 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15378537 + ... + 15379863.

Almost surely, 2^20408198400 is an apocalyptic number.

20408198400 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 20408198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37866326400).

20408198400 is an abundant number, since it is smaller than the sum of its proper divisors (55324454400).

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

20408198400 is a wasteful number, since it uses less digits than its factorization.

20408198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 20408198400 in words is "twenty billion, four hundred eight million, one hundred ninety-eight thousand, four hundred".