4249520760600 has 768 divisors, whose sum is σ = 16451804160000. Its totient is φ = 1002981450240.

The previous prime is 4249520760571. The next prime is 4249520760601. The reversal of 4249520760600 is 60670259424.

4249520760600 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 520 + 7 + 60 + 60 + 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 not an unprimeable number, because it can be changed into a prime (4249520760601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101450461 + ... + 101492339.

It is an arithmetic number, because the mean of its divisors is an integer number (21421620000).

Almost surely, 2^{4249520760600} is an apocalyptic number.

4249520760600 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 4249520760600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225902080000).

4249520760600 is an abundant number, since it is smaller than the sum of its proper divisors (12202283399400).

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

4249520760600 is a wasteful number, since it uses less digits than its factorization.

4249520760600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41989 (or 41974 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4249520760600 in words is "four trillion, two hundred forty-nine billion, five hundred twenty million, seven hundred sixty thousand, six hundred".