641121400 has 96 divisors (see below), whose sum is σ = 1539901440. Its totient is φ = 248088960.

The previous prime is 641121373. The next prime is 641121401. The reversal of 641121400 is 4121146.

It is a super-2 number, since 2×641121400² = 822073299075920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641121401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091907 + ... + 1092493.

It is an arithmetic number, because the mean of its divisors is an integer number (16040640).

Almost surely, 2^641121400 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 641121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769950720).

641121400 is an abundant number, since it is smaller than the sum of its proper divisors (898780040).

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

641121400 is a wasteful number, since it uses less digits than its factorization.

641121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 641121400 is about 25320.3751946925. The cubic root of 641121400 is about 862.2769121270.

Adding to 641121400 its reverse (4121146), we get a palindrome (645242546).

The spelling of 641121400 in words is "six hundred forty-one million, one hundred twenty-one thousand, four hundred".