551314124134400 has 288 divisors, whose sum is σ = 1525870084939200. Its totient is φ = 195815578828800.

The previous prime is 551314124134381. The next prime is 551314124134429. The reversal of 551314124134400 is 4431421413155.

It is a super-2 number, since 2×551314124134400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 12835091 + ... + 35600109.

It is an arithmetic number, because the mean of its divisors is an integer number (5298160017150).

Almost surely, 2^{551314124134400} is an apocalyptic number.

551314124134400 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 551314124134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762935042469600).

551314124134400 is an abundant number, since it is smaller than the sum of its proper divisors (974555960804800).

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

551314124134400 is a wasteful number, since it uses less digits than its factorization.

551314124134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22765105 (or 22765080 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 551314124134400 its reverse (4431421413155), we get a palindrome (555745545547555).

The spelling of 551314124134400 in words is "five hundred fifty-one trillion, three hundred fourteen billion, one hundred twenty-four million, one hundred thirty-four thousand, four hundred".