6218121416400 has 480 divisors, whose sum is σ = 22707949038720. Its totient is φ = 1615216619520.

The previous prime is 6218121416399. The next prime is 6218121416431. The reversal of 6218121416400 is 46141218126.

6218121416400 is a `hidden beast` number, since 6 + 2 + 1 + 8 + 1 + 2 + 1 + 4 + 1 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173203252 + ... + 173239148.

It is an arithmetic number, because the mean of its divisors is an integer number (47308227164).

Almost surely, 2^{6218121416400} is an apocalyptic number.

6218121416400 is a gapful number since it is divisible by the number (60) 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 6218121416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11353974519360).

6218121416400 is an abundant number, since it is smaller than the sum of its proper divisors (16489827622320).

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

6218121416400 is a wasteful number, since it uses less digits than its factorization.

6218121416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36340 (or 36323 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 6218121416400 in words is "six trillion, two hundred eighteen billion, one hundred twenty-one million, four hundred sixteen thousand, four hundred".