140458315680 has 288 divisors, whose sum is σ = 497976268608. Its totient is φ = 37387008000.

The previous prime is 140458315667. The next prime is 140458315687. The reversal of 140458315680 is 86513854041.

140458315680 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 5 + 83 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (140458315687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23363875 + ... + 23369885.

It is an arithmetic number, because the mean of its divisors is an integer number (1729084266).

Almost surely, 2^140458315680 is an apocalyptic number.

140458315680 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 140458315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248988134304).

140458315680 is an abundant number, since it is smaller than the sum of its proper divisors (357517952928).

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

140458315680 is an equidigital number, since it uses as much as digits as its factorization.

140458315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 140458315680 in words is "one hundred forty billion, four hundred fifty-eight million, three hundred fifteen thousand, six hundred eighty".