6402127661400 has 192 divisors, whose sum is σ = 20611256688000. Its totient is φ = 1642641960960.

The previous prime is 6402127661393. The next prime is 6402127661407. The reversal of 6402127661400 is 41667212046.

It is an interprime number because it is at equal distance from previous prime (6402127661393) and next prime (6402127661407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6402127661407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123225 + ... + 3580424.

It is an arithmetic number, because the mean of its divisors is an integer number (107350295250).

Almost surely, 2^{6402127661400} is an apocalyptic number.

6402127661400 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 6402127661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305628344000).

6402127661400 is an abundant number, since it is smaller than the sum of its proper divisors (14209129026600).

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

6402127661400 is a wasteful number, since it uses less digits than its factorization.

6402127661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703778 (or 3703769 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 6402127661400 in words is "six trillion, four hundred two billion, one hundred twenty-seven million, six hundred sixty-one thousand, four hundred".