40412113040 has 160 divisors (see below), whose sum is σ = 107453122560. Its totient is φ = 14002348032.

The previous prime is 40412113037. The next prime is 40412113051. The reversal of 40412113040 is 4031121404.

40412113040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6343937 + ... + 6350303.

It is an arithmetic number, because the mean of its divisors is an integer number (671582016).

Almost surely, 2^40412113040 is an apocalyptic number.

40412113040 is a gapful number since it is divisible by the number (40) 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 40412113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53726561280).

40412113040 is an abundant number, since it is smaller than the sum of its proper divisors (67041009520).

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

40412113040 is a wasteful number, since it uses less digits than its factorization.

40412113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40412113040 its reverse (4031121404), we get a palindrome (44443234444).

The spelling of 40412113040 in words is "forty billion, four hundred twelve million, one hundred thirteen thousand, forty".