40111859424 has 864 divisors, whose sum is σ = 147105745920. Its totient is φ = 9465071616.

The previous prime is 40111859413. The next prime is 40111859429. The reversal of 40111859424 is 42495811104.

40111859424 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-2 number, since 2×40111859424² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40111859429) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 507745017 + ... + 507745095.

It is an arithmetic number, because the mean of its divisors is an integer number (170261280).

Almost surely, 2^40111859424 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 40111859424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73552872960).

40111859424 is an abundant number, since it is smaller than the sum of its proper divisors (106993886496).

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

40111859424 is a wasteful number, since it uses less digits than its factorization.

40111859424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 40111859424 in words is "forty billion, one hundred eleven million, eight hundred fifty-nine thousand, four hundred twenty-four".