140420304024 has 512 divisors, whose sum is σ = 496015349760. Its totient is φ = 31950028800.

The previous prime is 140420304019. The next prime is 140420304029. The reversal of 140420304024 is 420403024041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140420304019) and next prime (140420304029).

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

It is a junction number, because it is equal to n+sod(n) for n = 140420303985 and 140420304003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140420304029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36442482 + ... + 36446334.

It is an arithmetic number, because the mean of its divisors is an integer number (968779980).

Almost surely, 2^140420304024 is an apocalyptic number.

140420304024 is a gapful number since it is divisible by the number (14) 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 140420304024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248007674880).

140420304024 is an abundant number, since it is smaller than the sum of its proper divisors (355595045736).

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

140420304024 is a wasteful number, since it uses less digits than its factorization.

140420304024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 140420304024 its reverse (420403024041), we get a palindrome (560823328065).

It can be divided in two parts, 140420 and 304024, that added together give a palindrome (444444).

The spelling of 140420304024 in words is "one hundred forty billion, four hundred twenty million, three hundred four thousand, twenty-four".