140420203031040 has 320 divisors, whose sum is σ = 451576097280000. Its totient is φ = 37222994755584.

The previous prime is 140420203031029. The next prime is 140420203031041. The reversal of 140420203031040 is 40130302024041.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140420203031040.

It is not an unprimeable number, because it can be changed into a prime (140420203031041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685695311 + ... + 1685778609.

It is an arithmetic number, because the mean of its divisors is an integer number (1411175304000).

Almost surely, 2^{140420203031040} is an apocalyptic number.

140420203031040 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 140420203031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225788048640000).

140420203031040 is an abundant number, since it is smaller than the sum of its proper divisors (311155894248960).

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

140420203031040 is a wasteful number, since it uses less digits than its factorization.

140420203031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84627 (or 84611 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 140420203031040 its reverse (40130302024041), we get a palindrome (180550505055081).

The spelling of 140420203031040 in words is "one hundred forty trillion, four hundred twenty billion, two hundred three million, thirty-one thousand, forty".