140305876992 has 324 divisors, whose sum is σ = 423480325905. Its totient is φ = 44751421440.

The previous prime is 140305876957. The next prime is 140305877003. The reversal of 140305876992 is 299678503041.

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 125417972736 + 14887904256 = 354144^2 + 122016^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=264864.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1576470484 + ... + 1576470572.

It is a 2-persistent number, because it is pandigital, and so is 2⋅140305876992 = 280611753984, but 3⋅140305876992 = 420917630976 is not.

Almost surely, 2^140305876992 is an apocalyptic number.

140305876992 is a gapful number since it is divisible by the number (12) 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 140305876992

140305876992 is an abundant number, since it is smaller than the sum of its proper divisors (283174448913).

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

140305876992 is an frugal number, since it uses more digits than its factorization.

140305876992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 140305876992 in words is "one hundred forty billion, three hundred five million, eight hundred seventy-six thousand, nine hundred ninety-two".