140574216960 has 864 divisors, whose sum is σ = 531405987840. Its totient is φ = 35533209600.

The previous prime is 140574216941. The next prime is 140574216961. The reversal of 140574216960 is 69612475041.

140574216960 is a `hidden beast` number, since 1 + 4 + 0 + 574 + 2 + 16 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×140574216960³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (140574216961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 588176521 + ... + 588176759.

Almost surely, 2^140574216960 is an apocalyptic number.

140574216960 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 140574216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265702993920).

140574216960 is an abundant number, since it is smaller than the sum of its proper divisors (390831770880).

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

140574216960 is an equidigital number, since it uses as much as digits as its factorization.

140574216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 140574216960 in words is "one hundred forty billion, five hundred seventy-four million, two hundred sixteen thousand, nine hundred sixty".