641127110400 has 648 divisors, whose sum is σ = 2680621623680. Its totient is φ = 143131484160.

The previous prime is 641127110341. The next prime is 641127110401. The reversal of 641127110400 is 4011721146.

641127110400 is a `hidden beast` number, since 641 + 1 + 2 + 7 + 1 + 10 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×641127110400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641127110401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17319111 + ... + 17356089.

Almost surely, 2^641127110400 is an apocalyptic number.

641127110400 is a gapful number since it is divisible by the number (60) 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 641127110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340310811840).

641127110400 is an abundant number, since it is smaller than the sum of its proper divisors (2039494513280).

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

641127110400 is a wasteful number, since it uses less digits than its factorization.

641127110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37061 (or 37039 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 641127110400 its reverse (4011721146), we get a palindrome (645138831546).

The spelling of 641127110400 in words is "six hundred forty-one billion, one hundred twenty-seven million, one hundred ten thousand, four hundred".