5226544404400 has 240 divisors, whose sum is σ = 13873530439008. Its totient is φ = 1876357120000.

The previous prime is 5226544404377. The next prime is 5226544404407. The reversal of 5226544404400 is 44044456225.

It is a super-2 number, since 2×5226544404400² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5226544404407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156856542 + ... + 156889858.

Almost surely, 2^{5226544404400} is an apocalyptic number.

5226544404400 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 5226544404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936765219504).

5226544404400 is an abundant number, since it is smaller than the sum of its proper divisors (8646986034608).

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

5226544404400 is a wasteful number, since it uses less digits than its factorization.

5226544404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33800 (or 33789 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

The spelling of 5226544404400 in words is "five trillion, two hundred twenty-six billion, five hundred forty-four million, four hundred four thousand, four hundred".