920128052400 has 240 divisors, whose sum is σ = 3032716727040. Its totient is φ = 238334745600.

The previous prime is 920128052383. The next prime is 920128052407. The reversal of 920128052400 is 4250821029.

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

It is not an unprimeable number, because it can be changed into a prime (920128052407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9290341 + ... + 9388859.

It is an arithmetic number, because the mean of its divisors is an integer number (12636319696).

Almost surely, 2^920128052400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920128052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516358363520).

920128052400 is an abundant number, since it is smaller than the sum of its proper divisors (2112588674640).

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

920128052400 is a wasteful number, since it uses less digits than its factorization.

920128052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98764 (or 98753 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 920128052400 its reverse (4250821029), we get a palindrome (924378873429).

The spelling of 920128052400 in words is "nine hundred twenty billion, one hundred twenty-eight million, fifty-two thousand, four hundred".