514451355213400 has 384 divisors, whose sum is σ = 1329736248576000. Its totient is φ = 183530398464000.

The previous prime is 514451355213371. The next prime is 514451355213403. The reversal of 514451355213400 is 4312553154415.

It is a super-3 number, since 3×514451355213400³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514451355213403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59618880286 + ... + 59618888914.

It is an arithmetic number, because the mean of its divisors is an integer number (3462854814000).

Almost surely, 2^{514451355213400} is an apocalyptic number.

514451355213400 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 514451355213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664868124288000).

514451355213400 is an abundant number, since it is smaller than the sum of its proper divisors (815284893362600).

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

514451355213400 is a wasteful number, since it uses less digits than its factorization.

514451355213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10563 (or 10554 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 43.

The spelling of 514451355213400 in words is "five hundred fourteen trillion, four hundred fifty-one billion, three hundred fifty-five million, two hundred thirteen thousand, four hundred".