140798800800 has 2160 divisors, whose sum is σ = 675817369920. Its totient is φ = 27769651200.

The previous prime is 140798800799. The next prime is 140798800823. The reversal of 140798800800 is 8008897041.

140798800800 is a `hidden beast` number, since 1 + 407 + 98 + 80 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4541896785 + ... + 4541896815.

It is an arithmetic number, because the mean of its divisors is an integer number (312878412).

Almost surely, 2^140798800800 is an apocalyptic number.

140798800800 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 140798800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337908684960).

140798800800 is an abundant number, since it is smaller than the sum of its proper divisors (535018569120).

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

140798800800 is a wasteful number, since it uses less digits than its factorization.

140798800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 140798800800 in words is "one hundred forty billion, seven hundred ninety-eight million, eight hundred thousand, eight hundred".