40012311024 has 480 divisors, whose sum is σ = 134959219200. Its totient is φ = 11057485824.

The previous prime is 40012311013. The next prime is 40012311083. The reversal of 40012311024 is 42011321004.

40012311024 is a `hidden beast` number, since 400 + 1 + 231 + 10 + 24 = 666.

40012311024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40012311024³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40012310988 and 40012311006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354091192 + ... + 354091304.

It is an arithmetic number, because the mean of its divisors is an integer number (281165040).

Almost surely, 2^40012311024 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 40012311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67479609600).

40012311024 is an abundant number, since it is smaller than the sum of its proper divisors (94946908176).

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

40012311024 is a wasteful number, since it uses less digits than its factorization.

40012311024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40012311024 its reverse (42011321004), we get a palindrome (82023632028).

The spelling of 40012311024 in words is "forty billion, twelve million, three hundred eleven thousand, twenty-four".