5413714426400 has 144 divisors (see below), whose sum is σ = 15111008458560. Its totient is φ = 1855301760000.

The previous prime is 5413714426387. The next prime is 5413714426441. The reversal of 5413714426400 is 46244173145.

It is a super-2 number, since 2×5413714426400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12390866 + ... + 12820334.

It is an arithmetic number, because the mean of its divisors is an integer number (104937558740).

Almost surely, 2^{5413714426400} is an apocalyptic number.

5413714426400 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 5413714426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555504229280).

5413714426400 is an abundant number, since it is smaller than the sum of its proper divisors (9697294032160).

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

5413714426400 is a wasteful number, since it uses less digits than its factorization.

5413714426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431747 (or 431734 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

Adding to 5413714426400 its reverse (46244173145), we get a palindrome (5459958599545).

The spelling of 5413714426400 in words is "five trillion, four hundred thirteen billion, seven hundred fourteen million, four hundred twenty-six thousand, four hundred".