6121414400 has 108 divisors (see below), whose sum is σ = 16043004432. Its totient is φ = 2304491520.

The previous prime is 6121414391. The next prime is 6121414469. The reversal of 6121414400 is 44141216.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80669 + ... + 136931.

Almost surely, 2^6121414400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6121414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8021502216).

6121414400 is an abundant number, since it is smaller than the sum of its proper divisors (9921590032).

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

6121414400 is a wasteful number, since it uses less digits than its factorization.

6121414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56306 (or 56287 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 6121414400 is about 78239.4683008518. The cubic root of 6121414400 is about 1829.2957565704.

Adding to 6121414400 its reverse (44141216), we get a palindrome (6165555616).

The spelling of 6121414400 in words is "six billion, one hundred twenty-one million, four hundred fourteen thousand, four hundred".