4045695413760 has 3840 divisors, whose sum is σ = 19998700001280. Its totient is φ = 756767784960.

The previous prime is 4045695413719. The next prime is 4045695413761. The reversal of 4045695413760 is 673145965404.

It is a happy number.

4045695413760 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 6 + 9 + 541 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4045695413697 and 4045695413706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045695413761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45457251796 + ... + 45457251884.

It is an arithmetic number, because the mean of its divisors is an integer number (5207994792).

Almost surely, 2^{4045695413760} is an apocalyptic number.

4045695413760 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 4045695413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999350000640).

4045695413760 is an abundant number, since it is smaller than the sum of its proper divisors (15953004587520).

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

4045695413760 is a wasteful number, since it uses less digits than its factorization.

4045695413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 4045695413760 in words is "four trillion, forty-five billion, six hundred ninety-five million, four hundred thirteen thousand, seven hundred sixty".