1688140414200 has 384 divisors, whose sum is σ = 5509409875200. Its totient is φ = 427060408320.

The previous prime is 1688140414171. The next prime is 1688140414211. The reversal of 1688140414200 is 24140418861.

It is a happy number.

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, 705448204 + ... + 705450596.

It is an arithmetic number, because the mean of its divisors is an integer number (14347421550).

Almost surely, 2^{1688140414200} is an apocalyptic number.

1688140414200 is a gapful number since it is divisible by the number (10) 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 1688140414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754704937600).

1688140414200 is an abundant number, since it is smaller than the sum of its proper divisors (3821269461000).

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

1688140414200 is a wasteful number, since it uses less digits than its factorization.

1688140414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 1688140414200 in words is "one trillion, six hundred eighty-eight billion, one hundred forty million, four hundred fourteen thousand, two hundred".