140864320800 has 432 divisors, whose sum is σ = 569680413120. Its totient is φ = 32084305920.

The previous prime is 140864320703. The next prime is 140864320811. The reversal of 140864320800 is 8023468041.

140864320800 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 643 + 2 + 0 + 8 + 0 + 0 = 666.

140864320800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14762431 + ... + 14771969.

It is an arithmetic number, because the mean of its divisors is an integer number (1318704660).

Almost surely, 2^140864320800 is an apocalyptic number.

140864320800 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 140864320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284840206560).

140864320800 is an abundant number, since it is smaller than the sum of its proper divisors (428816092320).

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

140864320800 is a wasteful number, since it uses less digits than its factorization.

140864320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9865 (or 9849 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 140864320800 its reverse (8023468041), we get a palindrome (148887788841).

The spelling of 140864320800 in words is "one hundred forty billion, eight hundred sixty-four million, three hundred twenty thousand, eight hundred".