5203601424144 has 320 divisors, whose sum is σ = 15398281113600. Its totient is φ = 1681535116800.

The previous prime is 5203601424137. The next prime is 5203601424149. The reversal of 5203601424144 is 4414241063025.

5203601424144 is a `hidden beast` number, since 5 + 2 + 0 + 3 + 601 + 4 + 2 + 4 + 1 + 44 = 666.

It is a super-2 number, since 2×5203601424144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5203601424099 and 5203601424108.

It is not an unprimeable number, because it can be changed into a prime (5203601424149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1469527014 + ... + 1469530554.

It is an arithmetic number, because the mean of its divisors is an integer number (48119628480).

Almost surely, 2^{5203601424144} is an apocalyptic number.

5203601424144 is a gapful number since it is divisible by the number (54) 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 5203601424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7699140556800).

5203601424144 is an abundant number, since it is smaller than the sum of its proper divisors (10194679689456).

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

5203601424144 is a wasteful number, since it uses less digits than its factorization.

5203601424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 5203601424144 its reverse (4414241063025), we get a palindrome (9617842487169).

The spelling of 5203601424144 in words is "five trillion, two hundred three billion, six hundred one million, four hundred twenty-four thousand, one hundred forty-four".