4115462307840 has 2160 divisors, whose sum is σ = 17335452126720. Its totient is φ = 928760463360.

The previous prime is 4115462307833. The next prime is 4115462307857. The reversal of 4115462307840 is 487032645114.

4115462307840 is a `hidden beast` number, since 4 + 1 + 1 + 546 + 2 + 30 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132756848625 + ... + 132756848655.

Almost surely, 2^{4115462307840} is an apocalyptic number.

4115462307840 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 4115462307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8667726063360).

4115462307840 is an abundant number, since it is smaller than the sum of its proper divisors (13219989818880).

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

4115462307840 is an frugal number, since it uses more digits than its factorization.

4115462307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4115462307840 in words is "four trillion, one hundred fifteen billion, four hundred sixty-two million, three hundred seven thousand, eight hundred forty".