5641013350400 has 156 divisors (see below), whose sum is σ = 14046108345324. Its totient is φ = 2247032832000.

The previous prime is 5641013350387. The next prime is 5641013350411. The reversal of 5641013350400 is 40533101465.

It can be written as a sum of positive squares in 6 ways, for example, as 27222360064 + 5613790990336 = 164992^2 + 2369344^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24564110 + ... + 24792690.

Almost surely, 2^{5641013350400} is an apocalyptic number.

5641013350400 is a gapful number since it is divisible by the number (50) 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 5641013350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7023054172662).

5641013350400 is an abundant number, since it is smaller than the sum of its proper divisors (8405094994924).

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

5641013350400 is a wasteful number, since it uses less digits than its factorization.

5641013350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228856 (or 228829 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 5641013350400 its reverse (40533101465), we get a palindrome (5681546451865).

The spelling of 5641013350400 in words is "five trillion, six hundred forty-one billion, thirteen million, three hundred fifty thousand, four hundred".