140408320 has 80 divisors (see below), whose sum is σ = 362633040. Its totient is φ = 51830784.

The previous prime is 140408311. The next prime is 140408327. The reversal of 140408320 is 23804041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 140408291 and 140408300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140408327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31171 + ... + 35389.

It is an arithmetic number, because the mean of its divisors is an integer number (4532913).

Almost surely, 2^140408320 is an apocalyptic number.

140408320 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 140408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181316520).

140408320 is an abundant number, since it is smaller than the sum of its proper divisors (222224720).

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

140408320 is an equidigital number, since it uses as much as digits as its factorization.

140408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 140408320 is about 11849.4016726584. The cubic root of 140408320 is about 519.7537295393.

The spelling of 140408320 in words is "one hundred forty million, four hundred eight thousand, three hundred twenty".