140605320960 has 1008 divisors, whose sum is σ = 555109307424. Its totient is φ = 33896890368.

The previous prime is 140605320959. The next prime is 140605320967. The reversal of 140605320960 is 69023506041.

It is a happy number.

140605320960 is a `hidden beast` number, since 1 + 4 + 0 + 60 + 532 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140605320967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 812747434 + ... + 812747606.

It is an arithmetic number, because the mean of its divisors is an integer number (550703678).

Almost surely, 2^140605320960 is an apocalyptic number.

140605320960 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 140605320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277554653712).

140605320960 is an abundant number, since it is smaller than the sum of its proper divisors (414503986464).

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

140605320960 is an equidigital number, since it uses as much as digits as its factorization.

140605320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 140605320960 in words is "one hundred forty billion, six hundred five million, three hundred twenty thousand, nine hundred sixty".