140795435827200 has 1080 divisors, whose sum is σ = 584826667961536. Its totient is φ = 29255978188800.

The previous prime is 140795435827187. The next prime is 140795435827217. The reversal of 140795435827200 is 2728534597041.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1040725962 + ... + 1040861238.

Almost surely, 2^{140795435827200} is an apocalyptic number.

140795435827200 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 140795435827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292413333980768).

140795435827200 is an abundant number, since it is smaller than the sum of its proper divisors (444031232134336).

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

140795435827200 is a wasteful number, since it uses less digits than its factorization.

140795435827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135347 (or 135305 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 140795435827200 in words is "one hundred forty trillion, seven hundred ninety-five billion, four hundred thirty-five million, eight hundred twenty-seven thousand, two hundred".