140013313031424 has 288 divisors, whose sum is σ = 448338071157760. Its totient is φ = 37894127616000.

The previous prime is 140013313031407. The next prime is 140013313031429. The reversal of 140013313031424 is 424130313310041.

It is a super-2 number, since 2×140013313031424² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140013313031391 and 140013313031400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140013313031429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980613159 + ... + 980755929.

Almost surely, 2^{140013313031424} is an apocalyptic number.

140013313031424 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 140013313031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224169035578880).

140013313031424 is an abundant number, since it is smaller than the sum of its proper divisors (308324758126336).

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

140013313031424 is a wasteful number, since it uses less digits than its factorization.

140013313031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152417 (or 152403 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 140013313031424 its reverse (424130313310041), we get a palindrome (564143626341465).

The spelling of 140013313031424 in words is "one hundred forty trillion, thirteen billion, three hundred thirteen million, thirty-one thousand, four hundred twenty-four".