140450768640 has 2304 divisors, whose sum is σ = 676454768640. Its totient is φ = 26754416640.

The previous prime is 140450768621. The next prime is 140450768651. The reversal of 140450768640 is 46867054041.

140450768640 is a `hidden beast` number, since 1 + 40 + 4 + 507 + 68 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1978179805 + ... + 1978179875.

It is an arithmetic number, because the mean of its divisors is an integer number (293600160).

Almost surely, 2^140450768640 is an apocalyptic number.

140450768640 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 140450768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338227384320).

140450768640 is an abundant number, since it is smaller than the sum of its proper divisors (536004000000).

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

140450768640 is a wasteful number, since it uses less digits than its factorization.

140450768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 140450768640 in words is "one hundred forty billion, four hundred fifty million, seven hundred sixty-eight thousand, six hundred forty".