4105396319040 has 224 divisors, whose sum is σ = 15334863269760. Its totient is φ = 1030373941248.

The previous prime is 4105396319029. The next prime is 4105396319041. The reversal of 4105396319040 is 409136935014.

4105396319040 is a `hidden beast` number, since 4 + 1 + 0 + 5 + 3 + 9 + 631 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105396319041) 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, 13828462 + ... + 14122221.

Almost surely, 2^{4105396319040} is an apocalyptic number.

4105396319040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4105396319040 is an abundant number, since it is smaller than the sum of its proper divisors (11229466950720).

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

4105396319040 is a wasteful number, since it uses less digits than its factorization.

4105396319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27950726 (or 27950710 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 4105396319040 in words is "four trillion, one hundred five billion, three hundred ninety-six million, three hundred nineteen thousand, forty".