4245456533760 has 2304 divisors, whose sum is σ = 17954236984320. Its totient is φ = 940226641920.

The previous prime is 4245456533753. The next prime is 4245456533761. The reversal of 4245456533760 is 673356545424.

4245456533760 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 4 + 565 + 3 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 4245456533697 and 4245456533706.

It is not an unprimeable number, because it can be changed into a prime (4245456533761) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23455560870 + ... + 23455561050.

It is an arithmetic number, because the mean of its divisors is an integer number (7792637580).

Almost surely, 2^{4245456533760} is an apocalyptic number.

4245456533760 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 4245456533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8977118492160).

4245456533760 is an abundant number, since it is smaller than the sum of its proper divisors (13708780450560).

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

4245456533760 is a wasteful number, since it uses less digits than its factorization.

4245456533760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 54.

The spelling of 4245456533760 in words is "four trillion, two hundred forty-five billion, four hundred fifty-six million, five hundred thirty-three thousand, seven hundred sixty".