4045329320760 has 1536 divisors, whose sum is σ = 18050445907200. Its totient is φ = 795943895040.

The previous prime is 4045329320729. The next prime is 4045329320783. The reversal of 4045329320760 is 670239235404.

4045329320760 is a `hidden beast` number, since 4 + 0 + 4 + 532 + 93 + 20 + 7 + 6 + 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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1321569630 + ... + 1321572690.

Almost surely, 2^{4045329320760} is an apocalyptic number.

4045329320760 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 4045329320760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025222953600).

4045329320760 is an abundant number, since it is smaller than the sum of its proper divisors (14005116586440).

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

4045329320760 is a wasteful number, since it uses less digits than its factorization.

4045329320760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 4045329320760 in words is "four trillion, forty-five billion, three hundred twenty-nine million, three hundred twenty thousand, seven hundred sixty".