40412405760 has 448 divisors, whose sum is σ = 137397012480. Its totient is φ = 10121379840.

The previous prime is 40412405743. The next prime is 40412405767. The reversal of 40412405760 is 6750421404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40412405767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223272870 + ... + 223273050.

It is an arithmetic number, because the mean of its divisors is an integer number (306689760).

Almost surely, 2^40412405760 is an apocalyptic number.

40412405760 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 40412405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68698506240).

40412405760 is an abundant number, since it is smaller than the sum of its proper divisors (96984606720).

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

40412405760 is a wasteful number, since it uses less digits than its factorization.

40412405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 40412405760 in words is "forty billion, four hundred twelve million, four hundred five thousand, seven hundred sixty".