140795965440 has 624 divisors, whose sum is σ = 534026726688. Its totient is φ = 34101264384.

The previous prime is 140795965379. The next prime is 140795965459. The reversal of 140795965440 is 44569597041.

140795965440 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 9 + 5 + 96 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-3 number, since 3×140795965440³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160542282 + ... + 160543158.

It is an arithmetic number, because the mean of its divisors is an integer number (855812062).

Almost surely, 2^140795965440 is an apocalyptic number.

140795965440 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 140795965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267013363344).

140795965440 is an abundant number, since it is smaller than the sum of its proper divisors (393230761248).

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

140795965440 is a wasteful number, since it uses less digits than its factorization.

140795965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 140795965440 in words is "one hundred forty billion, seven hundred ninety-five million, nine hundred sixty-five thousand, four hundred forty".