140006200320 has 528 divisors, whose sum is σ = 569453259648. Its totient is φ = 31133859840.

The previous prime is 140006200309. The next prime is 140006200337. The reversal of 140006200320 is 23002600041.

It is a happy number.

140006200320 is a `hidden beast` number, since 1 + 40 + 0 + 0 + 620 + 0 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×140006200320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140006200293 and 140006200302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11928855 + ... + 11940585.

Almost surely, 2^140006200320 is an apocalyptic number.

140006200320 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 140006200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284726629824).

140006200320 is an abundant number, since it is smaller than the sum of its proper divisors (429447059328).

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

140006200320 is a wasteful number, since it uses less digits than its factorization.

140006200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11806 (or 11785 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 140006200320 its reverse (23002600041), we get a palindrome (163008800361).

The spelling of 140006200320 in words is "one hundred forty billion, six million, two hundred thousand, three hundred twenty".