140032012320 has 576 divisors, whose sum is σ = 508209811200. Its totient is φ = 35055820800.

The previous prime is 140032012301. The next prime is 140032012331. The reversal of 140032012320 is 23210230041.

140032012320 is a `hidden beast` number, since 1 + 400 + 32 + 0 + 1 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140032012293 and 140032012302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334205071 + ... + 334205489.

It is an arithmetic number, because the mean of its divisors is an integer number (882308700).

Almost surely, 2^140032012320 is an apocalyptic number.

140032012320 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 140032012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254104905600).

140032012320 is an abundant number, since it is smaller than the sum of its proper divisors (368177798880).

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

140032012320 is a wasteful number, since it uses less digits than its factorization.

140032012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 140032012320 its reverse (23210230041), we get a palindrome (163242242361).

The spelling of 140032012320 in words is "one hundred forty billion, thirty-two million, twelve thousand, three hundred twenty".