140365853007600 has 960 divisors, whose sum is σ = 531798154168320. Its totient is φ = 31263527731200.

The previous prime is 140365853007587. The next prime is 140365853007607. The reversal of 140365853007600 is 6700358563041.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 140365853007600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140365853007607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4102688094 + ... + 4102722306.

It is an arithmetic number, because the mean of its divisors is an integer number (553956410592).

Almost surely, 2^{140365853007600} is an apocalyptic number.

140365853007600 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 140365853007600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265899077084160).

140365853007600 is an abundant number, since it is smaller than the sum of its proper divisors (391432301160720).

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

140365853007600 is a wasteful number, since it uses less digits than its factorization.

140365853007600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34698 (or 34687 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 140365853007600 in words is "one hundred forty trillion, three hundred sixty-five billion, eight hundred fifty-three million, seven thousand, six hundred".