4145444685720 has 1024 divisors, whose sum is σ = 16114891161600. Its totient is φ = 940196782080.

The previous prime is 4145444685643. The next prime is 4145444685743. The reversal of 4145444685720 is 275864445414.

4145444685720 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 4 + 4 + 4 + 68 + 572 + 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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 756879622 + ... + 756885098.

It is an arithmetic number, because the mean of its divisors is an integer number (15737198400).

Almost surely, 2^{4145444685720} is an apocalyptic number.

4145444685720 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 4145444685720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057445580800).

4145444685720 is an abundant number, since it is smaller than the sum of its proper divisors (11969446475880).

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

4145444685720 is a wasteful number, since it uses less digits than its factorization.

4145444685720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 4145444685720 in words is "four trillion, one hundred forty-five billion, four hundred forty-four million, six hundred eighty-five thousand, seven hundred twenty".