4045616054100 has 54 divisors (see below), whose sum is σ = 12680758767950. Its totient is φ = 1078830947520.

The previous prime is 4045616054069. The next prime is 4045616054101. The reversal of 4045616054100 is 14506165404.

4045616054100 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 6 + 1 + 605 + 41 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2307457296 + 4043308596804 = 48036^2 + 2010798^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045616054101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2247563575 + ... + 2247565374.

Almost surely, 2^{4045616054100} is an apocalyptic number.

It is an amenable number.

4045616054100 is an abundant number, since it is smaller than the sum of its proper divisors (8635142713850).

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

4045616054100 is a wasteful number, since it uses less digits than its factorization.

4045616054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495128969 (or 4495128959 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 4045616054100 in words is "four trillion, forty-five billion, six hundred sixteen million, fifty-four thousand, one hundred".