140205505440 has 768 divisors, whose sum is σ = 612174495744. Its totient is φ = 26022297600.

The previous prime is 140205505417. The next prime is 140205505477. The reversal of 140205505440 is 44505502041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 140205505398 and 140205505407.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14890174 + ... + 14899586.

It is an arithmetic number, because the mean of its divisors is an integer number (797102208).

Almost surely, 2^140205505440 is an apocalyptic number.

140205505440 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 140205505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306087247872).

140205505440 is an abundant number, since it is smaller than the sum of its proper divisors (471968990304).

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

140205505440 is a wasteful number, since it uses less digits than its factorization.

140205505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 140205505440 in words is "one hundred forty billion, two hundred five million, five hundred five thousand, four hundred forty".