20408164400 has 120 divisors (see below), whose sum is σ = 53011127904. Its totient is φ = 7505510400.

The previous prime is 20408164393. The next prime is 20408164429. The reversal of 20408164400 is 446180402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1328765 + ... + 1344035.

Almost surely, 2^20408164400 is an apocalyptic number.

20408164400 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 20408164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26505563952).

20408164400 is an abundant number, since it is smaller than the sum of its proper divisors (32602963504).

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

20408164400 is a wasteful number, since it uses less digits than its factorization.

20408164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15559 (or 15548 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The spelling of 20408164400 in words is "twenty billion, four hundred eight million, one hundred sixty-four thousand, four hundred".