4189245603840 has 1632 divisors, whose sum is σ = 16886013243840. Its totient is φ = 951268147200.

The previous prime is 4189245603833. The next prime is 4189245603841. The reversal of 4189245603840 is 483065429814.

4189245603840 is a `hidden beast` number, since 4 + 1 + 8 + 9 + 2 + 4 + 560 + 38 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4189245603841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57386926044 + ... + 57386926116.

Almost surely, 2^{4189245603840} is an apocalyptic number.

4189245603840 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 4189245603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443006621920).

4189245603840 is an abundant number, since it is smaller than the sum of its proper divisors (12696767640000).

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

4189245603840 is a wasteful number, since it uses less digits than its factorization.

4189245603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4189245603840 in words is "four trillion, one hundred eighty-nine billion, two hundred forty-five million, six hundred three thousand, eight hundred forty".