20410032032400 has 240 divisors, whose sum is σ = 66102403512704. Its totient is φ = 5382689034240.

The previous prime is 20410032032381. The next prime is 20410032032417. The reversal of 20410032032400 is 423023001402.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93456132 + ... + 93674268.

Almost surely, 2^{20410032032400} is an apocalyptic number.

20410032032400 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 20410032032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33051201756352).

20410032032400 is an abundant number, since it is smaller than the sum of its proper divisors (45692371480304).

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

20410032032400 is a wasteful number, since it uses less digits than its factorization.

20410032032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219018 (or 219007 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20410032032400 its reverse (423023001402), we get a palindrome (20833055033802).

The spelling of 20410032032400 in words is "twenty trillion, four hundred ten billion, thirty-two million, thirty-two thousand, four hundred".