4609221534720 has 528 divisors, whose sum is σ = 17514312791040. Its totient is φ = 1111513497600.

The previous prime is 4609221534713. The next prime is 4609221534727. The reversal of 4609221534720 is 274351229064.

4609221534720 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 22 + 153 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4609221534713) and next prime (4609221534727).

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×4609221534720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4609221534727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96790276 + ... + 96837884.

Almost surely, 2^{4609221534720} is an apocalyptic number.

4609221534720 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 4609221534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8757156395520).

4609221534720 is an abundant number, since it is smaller than the sum of its proper divisors (12905091256320).

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

4609221534720 is a wasteful number, since it uses less digits than its factorization.

4609221534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47842 (or 47821 counting only the distinct ones).

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

The spelling of 4609221534720 in words is "four trillion, six hundred nine billion, two hundred twenty-one million, five hundred thirty-four thousand, seven hundred twenty".