20401444800 has 756 divisors, whose sum is σ = 82641755976. Its totient is φ = 4730572800.

The previous prime is 20401444799. The next prime is 20401444801. The reversal of 20401444800 is 844410402.

It is a happy number.

20401444800 is a `hidden beast` number, since 2 + 0 + 40 + 144 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20401444799) and next prime (20401444801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20401444801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 345787171 + ... + 345787229.

Almost surely, 2^20401444800 is an apocalyptic number.

20401444800 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 20401444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41320877988).

20401444800 is an abundant number, since it is smaller than the sum of its proper divisors (62240311176).

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

20401444800 is a wasteful number, since it uses less digits than its factorization.

20401444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 20401444800 in words is "twenty billion, four hundred one million, four hundred forty-four thousand, eight hundred".