4045975806600 has 1728 divisors, whose sum is σ = 17942274954240. Its totient is φ = 825363302400.

The previous prime is 4045975806581. The next prime is 4045975806601. The reversal of 4045975806600 is 66085795404.

4045975806600 is a `hidden beast` number, since 4 + 0 + 4 + 59 + 7 + 580 + 6 + 6 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045975806601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3701715654 + ... + 3701716746.

Almost surely, 2^{4045975806600} is an apocalyptic number.

4045975806600 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 4045975806600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971137477120).

4045975806600 is an abundant number, since it is smaller than the sum of its proper divisors (13896299147640).

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

4045975806600 is a wasteful number, since it uses less digits than its factorization.

4045975806600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4045975806600 in words is "four trillion, forty-five billion, nine hundred seventy-five million, eight hundred six thousand, six hundred".