5413343544400 has 540 divisors, whose sum is σ = 15824252987676. Its totient is φ = 1772000665600.

The previous prime is 5413343544361. The next prime is 5413343544407. The reversal of 5413343544400 is 44453433145.

It can be written as a sum of positive squares in 6 ways, for example, as 447470020624 + 4965873523776 = 668932^2 + 2228424^2 .

It is a super-4 number, since 4×5413343544400⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413343544407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 435254982 + ... + 435267418.

Almost surely, 2^{5413343544400} is an apocalyptic number.

5413343544400 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 5413343544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912126493838).

5413343544400 is an abundant number, since it is smaller than the sum of its proper divisors (10410909443276).

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

5413343544400 is a wasteful number, since it uses less digits than its factorization.

5413343544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12540 (or 12495 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 5413343544400 its reverse (44453433145), we get a palindrome (5457796977545).

The spelling of 5413343544400 in words is "five trillion, four hundred thirteen billion, three hundred forty-three million, five hundred forty-four thousand, four hundred".