140322828800 has 810 divisors, whose sum is σ = 455107966929. Its totient is φ = 42719846400.

The previous prime is 140322828791. The next prime is 140322828827. The reversal of 140322828800 is 8828223041.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 137516372224 + 2806456576 = 370832^2 + 52976^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=264880.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3263321579 + ... + 3263321621.

Almost surely, 2^140322828800 is an apocalyptic number.

140322828800 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 140322828800

140322828800 is an abundant number, since it is smaller than the sum of its proper divisors (314785138129).

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

140322828800 is an equidigital number, since it uses as much as digits as its factorization.

140322828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The spelling of 140322828800 in words is "one hundred forty billion, three hundred twenty-two million, eight hundred twenty-eight thousand, eight hundred".