4517285552640 has 2880 divisors, whose sum is σ = 20282465339136. Its totient is φ = 942806532096.

The previous prime is 4517285552627. The next prime is 4517285552653. The reversal of 4517285552640 is 462555827154.

4517285552640 is a `hidden beast` number, since 4 + 5 + 1 + 7 + 2 + 85 + 552 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4517285552627) and next prime (4517285552653).

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 85231802854 + ... + 85231802906.

Almost surely, 2^{4517285552640} is an apocalyptic number.

4517285552640 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 4517285552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141232669568).

4517285552640 is an abundant number, since it is smaller than the sum of its proper divisors (15765179786496).

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

4517285552640 is an equidigital number, since it uses as much as digits as its factorization.

4517285552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 13440000, while the sum is 54.

The spelling of 4517285552640 in words is "four trillion, five hundred seventeen billion, two hundred eighty-five million, five hundred fifty-two thousand, six hundred forty".