140141928960 has 720 divisors, whose sum is σ = 565057380888. Its totient is φ = 31964528640.

The previous prime is 140141928959. The next prime is 140141929033. The reversal of 140141928960 is 69829141041.

It is a happy number.

140141928960 is a `hidden beast` number, since 140 + 1 + 419 + 2 + 8 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109598075136 + 30543853824 = 331056^2 + 174768^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47391802 + ... + 47394758.

Almost surely, 2^140141928960 is an apocalyptic number.

140141928960 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 140141928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282528690444).

140141928960 is an abundant number, since it is smaller than the sum of its proper divisors (424915451928).

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

140141928960 is a wasteful number, since it uses less digits than its factorization.

140141928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 140141928960 in words is "one hundred forty billion, one hundred forty-one million, nine hundred twenty-eight thousand, nine hundred sixty".