6423328402400 has 1152 divisors, whose sum is σ = 21054858902784. Its totient is φ = 1855822233600.

The previous prime is 6423328402399. The next prime is 6423328402429. The reversal of 6423328402400 is 42048233246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14055422972 + ... + 14055423428.

It is an arithmetic number, because the mean of its divisors is an integer number (18276787242).

Almost surely, 2^{6423328402400} 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 6423328402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10527429451392).

6423328402400 is an abundant number, since it is smaller than the sum of its proper divisors (14631530500384).

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

6423328402400 is a wasteful number, since it uses less digits than its factorization.

6423328402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 6423328402400 in words is "six trillion, four hundred twenty-three billion, three hundred twenty-eight million, four hundred two thousand, four hundred".