40134040024 has 128 divisors (see below), whose sum is σ = 87781478400. Its totient is φ = 17043747840.

The previous prime is 40134040019. The next prime is 40134040027. The reversal of 40134040024 is 42004043104.

It is a super-2 number, since 2×40134040024² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40134039977 and 40134040004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40134040027) 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 31 ways as a sum of consecutive naturals, for example, 16227652 + ... + 16230124.

It is an arithmetic number, because the mean of its divisors is an integer number (685792800).

Almost surely, 2^40134040024 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 40134040024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43890739200).

40134040024 is an abundant number, since it is smaller than the sum of its proper divisors (47647438376).

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

40134040024 is a wasteful number, since it uses less digits than its factorization.

40134040024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 40134040024 its reverse (42004043104), we get a palindrome (82138083128).

The spelling of 40134040024 in words is "forty billion, one hundred thirty-four million, forty thousand, twenty-four".