40120013024 has 192 divisors, whose sum is σ = 99574272000. Its totient is φ = 15811536384.

The previous prime is 40120012979. The next prime is 40120013069. The reversal of 40120013024 is 42031002104.

It is an interprime number because it is at equal distance from previous prime (40120012979) and next prime (40120013069).

It is a super-3 number, since 3×40120013024³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40120012993 and 40120013011.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68347259 + ... + 68347845.

It is an arithmetic number, because the mean of its divisors is an integer number (518616000).

Almost surely, 2^40120013024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40120013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49787136000).

40120013024 is an abundant number, since it is smaller than the sum of its proper divisors (59454258976).

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

40120013024 is a wasteful number, since it uses less digits than its factorization.

40120013024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 40120013024 its reverse (42031002104), we get a palindrome (82151015128).

The spelling of 40120013024 in words is "forty billion, one hundred twenty million, thirteen thousand, twenty-four".