140439463971840 has 3168 divisors, whose sum is σ = 616936012056000. Its totient is φ = 29299058933760.

The previous prime is 140439463971817. The next prime is 140439463971871. The reversal of 140439463971840 is 48179364934041.

140439463971840 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 3 + 9 + 463 + 97 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52227393216 + ... + 52227395904.

Almost surely, 2^{140439463971840} is an apocalyptic number.

140439463971840 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 140439463971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308468006028000).

140439463971840 is an abundant number, since it is smaller than the sum of its proper divisors (476496548084160).

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

140439463971840 is a wasteful number, since it uses less digits than its factorization.

140439463971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 140439463971840 in words is "one hundred forty trillion, four hundred thirty-nine billion, four hundred sixty-three million, nine hundred seventy-one thousand, eight hundred forty".