40106413440 has 512 divisors, whose sum is σ = 147210480000. Its totient is φ = 10311598080.

The previous prime is 40106413439. The next prime is 40106413517. The reversal of 40106413440 is 4431460104.

40106413440 is a `hidden beast` number, since 4 + 0 + 10 + 641 + 3 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95264430 + ... + 95264850.

Almost surely, 2^40106413440 is an apocalyptic number.

40106413440 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 40106413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73605240000).

40106413440 is an abundant number, since it is smaller than the sum of its proper divisors (107104066560).

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

40106413440 is a wasteful number, since it uses less digits than its factorization.

40106413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40106413440 its reverse (4431460104), we get a palindrome (44537873544).

The spelling of 40106413440 in words is "forty billion, one hundred six million, four hundred thirteen thousand, four hundred forty".