140032400213020 has 144 divisors (see below), whose sum is σ = 353190434365440. Its totient is φ = 46452300854400.

The previous prime is 140032400212979. The next prime is 140032400213023. The reversal of 140032400213020 is 20312004230041.

It is a junction number, because it is equal to n+sod(n) for n = 140032400212982 and 140032400213000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140032400213023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140436015 + ... + 141429625.

It is an arithmetic number, because the mean of its divisors is an integer number (2452711349760).

Almost surely, 2^{140032400213020} is an apocalyptic number.

140032400213020 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 140032400213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176595217182720).

140032400213020 is an abundant number, since it is smaller than the sum of its proper divisors (213158034152420).

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

140032400213020 is a wasteful number, since it uses less digits than its factorization.

140032400213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998304 (or 998295 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 140032400213020 its reverse (20312004230041), we get a palindrome (160344404443061).

The spelling of 140032400213020 in words is "one hundred forty trillion, thirty-two billion, four hundred million, two hundred thirteen thousand, twenty".