530607601440 has 864 divisors, whose sum is σ = 2204716340736. Its totient is φ = 115726786560.

The previous prime is 530607601439. The next prime is 530607601441. The reversal of 530607601440 is 44106706035.

It is a happy number.

530607601440 is a `hidden beast` number, since 5 + 3 + 0 + 6 + 0 + 7 + 601 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (530607601439) and next prime (530607601441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 530607601395 and 530607601404.

It is not an unprimeable number, because it can be changed into a prime (530607601441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159675619 + ... + 159678941.

It is an arithmetic number, because the mean of its divisors is an integer number (2551755024).

Almost surely, 2^530607601440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530607601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102358170368).

530607601440 is an abundant number, since it is smaller than the sum of its proper divisors (1674108739296).

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

530607601440 is a wasteful number, since it uses less digits than its factorization.

530607601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 530607601440 in words is "five hundred thirty billion, six hundred seven million, six hundred one thousand, four hundred forty".