514221023113400 has 96 divisors (see below), whose sum is σ = 1221684716816640. Its totient is φ = 201199399896960.

The previous prime is 514221023113381. The next prime is 514221023113439. The reversal of 514221023113400 is 4311320122415.

It is a happy number.

It is a super-2 number, since 2×514221023113400² (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, 1491599 + ... + 32104001.

It is an arithmetic number, because the mean of its divisors is an integer number (12725882466840).

Almost surely, 2^{514221023113400} is an apocalyptic number.

514221023113400 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 514221023113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610842358408320).

514221023113400 is an abundant number, since it is smaller than the sum of its proper divisors (707463693703240).

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

514221023113400 is a wasteful number, since it uses less digits than its factorization.

514221023113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30614253 (or 30614244 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 514221023113400 its reverse (4311320122415), we get a palindrome (518532343235815).

The spelling of 514221023113400 in words is "five hundred fourteen trillion, two hundred twenty-one billion, twenty-three million, one hundred thirteen thousand, four hundred".